Marián Fabián

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All published works

Action	Title	Year	Authors
+	Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited	2023	Marián Fabian Alexander Y. Kruger Patrick Mehlitz
+	Asplunds, yet again	2023	Marián Fabian Vicente Montesinos Julve
+	Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited	2023	Marián Fabián Alexander Y. Kruger Patrick Mehlitz
+	Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices	2022	David Bartl Marián Fabian Jan Kolář
+	On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping	2022	Marián Fabian Jean‐Baptiste Hiriart‐Urruty Edouard Pauwels
+	A general scheme for separably reducible properties	2022	Marián Fabián A. Ioffe J. P. Revalski
+	Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping	2021	David Bartl Marián Fabian
+	Continuous selections for inverse mappings in Banach spaces	2021	Radek Cibulka Marián Fabian
+	Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily?	2021	David Bartl Marián Fabian
+	An Inverse Mapping Theorem in Fréchet-Montel Spaces	2020	Radek Cibulka Marián Fabian Tomáš Roubal
+	On Nash–Moser–Ekeland Inverse Mapping Theorem	2019	Radek Cibulka Marián Fabian
+	On semiregularity of mappings	2019	Radek Cibulka Marián Fabian Alexander Y. Kruger
+ PDF Chat	WCG spaces and their subspaces grasped by projectional skeletons	2018	Marián Fabián Vicente Montesinos
+	Separable reduction of local metric regularity	2018	Marián Fabián A. D. Ioffe J. P. Revalski
+	Rich families and projectional skeletons in Asplund WCG spaces	2016	Marek Cúth Marián Fabian
+	On primal regularity estimates for set-valued mappings	2016	Radek Cibulka Marián Fabian
+ PDF Chat	Asplund spaces characterized by rich families and separable reduction of Fréchet subdifferentiability	2015	Marek Cúth Marián Fabian
+ PDF Chat	On coincidence of Pettis and McShane integrability	2015	Marián Fabian
+	On primal regularity estimates for single-valued mappings	2015	Radek Cibulka Marián Fabian A. D. Ioffe
+ PDF Chat	Projections in duals to Asplund spaces made without Simons’ lemma	2014	Marek Cúth Marián Fabián
+	Separable Reduction in the Theory of Fréchet Subdifferentials	2013	Marián Fabian A. D. Ioffe
+	Single-Directional Properties of Quasi-Monotone Operators	2013	Didier Aussel Marián Fabian
+	A note on Robinson–Ursescu and Lyusternik–Graves theorem	2013	Radek Cibulka Marián Fabian
+	Attainment and (sub)differentiability of the supremal convolution of a function and square of the norm	2012	Radek Cibulka Marián Fabian
+	About error bounds in metric spaces	2012	Marián Fabian René Henrion Alexander Y. Kruger Jiří V. Outrata
+ PDF Chat	Smooth renormings of the Lebesgue–Bochner function space L<sup>1</sup>(μ,X)	2012	Marián Fabián Sebastián Lajara
+ PDF Chat	Banach space theory: the basis for linear and nonlinear analysis	2011	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Banach Space Theory	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Higher Order Smoothness	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Dentability and Differentiability	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Topics in Weak Topologies on Banach Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Basic Concepts in Banach Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Hahn–Banach and Banach Open Mapping Theorems	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Weakly Compactly Generated Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Structure of Banach Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Finite-Dimensional Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Weak Topologies and Banach Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Basics in Nonlinear Geometric Analysis	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Compact Operators on Banach Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Optimization	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Schauder Bases	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Superreflexive Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Tensor Products	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	C 1-Smoothness in Separable Spaces	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler
+	Gul’ko, descriptive, and Gruenhage compact spaces	2010	Marián Fabian V. Montesinos Václav Zizler
+	Attainment and (sub)differentiability of the infimal convolution of a function and the square of the norm	2010	Radek Cibulka Marián Fabian
+ PDF Chat	Error Bounds: Necessary and Sufficient Conditions	2010	Marián Fabian René Henrion Alexander Y. Kruger Jiří V. Outrata
+ PDF Chat	On Weak Compactness in $L_1$ Spaces	2009	Marián Fabián V. Montesinos Václav Zizler
+ PDF Chat	FLAT SETS, <i>ℓ</i><sub><i>p</i></sub>-GENERATING AND FIXING <i>c</i><sub>0</sub> IN THE NONSEPARABLE SETTING	2009	Marián Fabián Alberto Carrere Václav Zizler
+	Sigma-locally uniformly rotund and sigma-weak∗ Kadets dual norms	2009	Marián Fabian V. Montesinos Václav Zizler
+	A variational principle in reflexive spaces	2009	J. P. Revalski Marián Fabián
+	Sigma-finite dual dentability indices	2008	Marián Fabian V. Montesinos Václav Zizler
+	Infimal convolution in Efimov–Stečkin Banach spaces	2007	Marián Fabian
+ PDF Chat	Weak compactness and σ-Asplund generated Banach spaces	2007	Marián Fabián V. Montesinos Václav Zizler
+	Overclasses of the class of Radon-Nikodým compact spaces	2006	Marián Fabian
+	On Stegall’s smooth variational principle	2006	Marián Fabian Catherine Finet
+	Smoothness in Banach spaces. Selected problems	2006	Marián Fabian Václav Zizler V. Montesinos
+	Weakly Compact Generating and Shrinking Markusevic Bases	2006	Marián Fabián Petr Hájek V. Montesinos Václav Zizler
+ PDF Chat	Exact Filling of Figures with the Derivatives of Smooth Mappings Between Banach Spaces	2005	Daniel Azagra Marián Fabian M. J. Sevilla
+ PDF Chat	Subdifferential calculus in Asplund generated spaces	2005	Marián Fabian Philip D. Loewen Boris S. Mordukhovich
+ PDF Chat	A quantitative version of Krein’s Theorem	2005	Marián Fabian Petr Hájek Vicente Montesinos Václav Zizler
+ PDF Chat	Biorthogonal Systems in Weakly Lindelöf Spaces	2005	Marián Fabian V. Montesinos Václav Zizler
+	A 321 Akbary, Amir, Shahab Shahabi On Non-Vanishing of Convolution of Dirichlet Series 333 Alzer, Horst Monotonicity Properties of the Hurwitz Zeta Function 340 Andruchow, Esteban Short Geodesics of Unitaries in the L 2 Metric	2005	Marián Fabián
+	Inner characterizations of weakly compactly generated Banach spaces and their relatives	2004	Marián Fabian Gilles Godefroy V. Montesinos Václav Zizler
+	Filling analytic sets by the derivatives of 𝐶¹-smooth bumps	2004	Marián Fabian Ondřej F. K. Kalenda Jan Kolář
+ PDF Chat	The day norm and Gruenhage compacta	2004	Marián Fabián V. Montesinos Václav Zizler
+	A CHARACTERIZATION OF SUBSPACES OF WEAKLY COMPACTLY GENERATED BANACH SPACES	2004	Marián Fabian V. Montesinos Václav Zizler
+	A One Perturbation Variational Principle and Applications	2004	Jonathan M. Borwein Lixin Cheng Marián Fabian J. P. Revalski
+	A “nonlinear” proof of Pitt’s compactness theorem	2003	Marián Fabián Václav Zizler
+	Hilbert-generated spaces	2003	Marián Fabian Gilles Godefroy Petr Hájek Václav Zizler
+	Sequential normal compactness versus topological normal compactness in variational analysis	2003	Marián Fabian Boris S. Mordukhovich
+	Adequate Compacta which are Gul’ko or Talagrand	2003	Petr Čížek Marián Fabián
+	The range of the gradient of a LipschitzC 1-smooth bump in infinite dimensions	2002	Jonathan M. Borwein Marián Fabian Philip D. Loewen
+	Pointwise semicontinuous smooth norms	2002	Marián Fabian V. Montesinos Václav Zizler
+	Separable reduction and extremal principles in variational analysis	2002	Marián Fabian Boris S. Mordukhovich
+ PDF Chat	Weakly compact sets and smooth norms in Banach spaces	2002	Marián Fabián Vicente Montesinos Václav Zizler
+	The structure of uniformly Gâteaux smooth Banach spaces	2001	Marián Fabian Gilles Godefroy Václav Zizler
+ PDF Chat	The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space	2001	Lixin Cheng Marián Fabian
+	Locally Convex Spaces	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Topics in Weak Topology	2001	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Norms that Locally Depend on Countably Many Linear Functionals	2001	Marián Fabian Václav Zizler
+	Functional Analysis and Infinite-Dimensional Geometry	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Functional Analysis and Infinite-Dimensional Geometry	2001	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Weakly Compactly Generated Spaces	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Compact Operators on Banach Spaces	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Uniform Convexity	2001	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Structure of Banach Spaces	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+	Hahn—Banach and Banach Open Mapping Theorems	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler
+ PDF Chat	On uniformly Gâteaux smooth C (n)-smooth norms on separable Banach spaces	1999	Marián Fabian Václav Zizler
+ PDF Chat	Separable Reduction and Supporting Properties of Fréchet-Like Normals in Banach Spaces	1999	Marián Fabian Boris S. Mordukhovich
+	A note on Asplund generated Banach spaces	1999	Marián Fabián Gilles Godefroy Václav Zizler
+	An elementary approach to some questions in higher order smoothness in Banach spaces	1999	Václav Zizler Marián Fabian
+	None	1998	Marián Fabián Boris S. Mordukhovich
+	Remarks on continuous images of Radon-Nikodým compacta	1998	Marián Fabián Martin Heisler Eva Matoušková
+ PDF Chat	A note on bump functions that locally depend on finitely many coordinates	1997	Marián Fabian Václav Zizler
+	Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions	1997	Jonathan M. Borwein Marián Fabián Jon D. Vanderwerff
+	Gâteaux differentiability of convex functions and topology : weak asplund spaces	1997	Marián Fabián
+	Uniform Eberlein Compacta and Uniformly Gâteaux Smooth Norms	1997	Marián Fabián Petr Hájek Václav Zizler
+	On Smooth Variational Principles in Banach Spaces	1996	Marián Fabian Petr Hájek Jon D. Vanderwerff
+ PDF Chat	On an extension of norms from a subspace to the whole Banach space keeping their rotundity	1995	Marián Fabian
+ PDF Chat	On Equivalent Characterizations of Weakly Compactly Generated Banach Spaces	1994	Marián Fabián J. H. Whitfield
+	A Note on Regularity of Sets and of Distance Functions in Banach Space	1994	Jonathan M. Borwein Marián Fabian
+ PDF Chat	On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability	1993	Jonathan M. Borwein Marián Fabian
+	On generic second-order gateaux differentiability	1993	Jonathan M. Borwein Marián Fabian
+	Locally Lipschitz Functions and Bornological Derivatives	1993	Jonathan M. Borwein Marián Fabián Jon D. Vanderwerff
+ PDF Chat	On a dual locally uniformly rotund norm on a dual Vašák space	1991	Marián Fabián
+	A Banach space admits a locally uniformly rotund norm if its dual is a Vašák space	1990	Marián Fabian Stanimir Troyanski
+	SEPARATING POLYNOMIALS ON BANACH SPACES	1989	Marián Fabian David Preiss J. H. M. WHTTFIELD Václav Zizler
+	On classes of subdifferentiability spaces of Ioffe	1988	Marián Fabian
+ PDF Chat	The dual of every Asplund space admits a projectional resolution of the identity	1988	Marián Fabian Gilles Godefroy
+ PDF Chat	Each weakly countably determined Asplund space admits a Fréchet differentiable norm	1987	Marián Fabian
+ PDF Chat	On projectional resolution of identity on the duals of certain Banach spaces	1987	Marián Fabián
+	A generalization of the interior mapping theorem of Clarke and Pourciau	1987	Marián Fabián David Preiss
+	Subdifferentials, Local ε-Supports and Asplund Spaces	1986	Marián Fabian
+	Lipschitz Smooth Points of Convex Functions and Isomorphic Characterizations of Hilbert Spaces	1985	Marián Fabian
+ PDF Chat	A Remark on the Duality Mapping on $l^\infty$	1985	Marián Fabián
+	Norms with locally Lipschitzian derivatives	1983	Marián Fabian J. H. Whitfield Václav Zizler
+	On residuality of the set of rotund norms on a Banach space	1982	Marián Fabian Luděk Zajı́ček Václav Zizler
+ PDF Chat	Differentiability via one-sided directional derivatives	1981	Marián Fabián
+ PDF Chat	Theory of Frechet cones and nonlinear analysis	1978	Marián Fabián
+	On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings	1977	Marián Fabián
+	Once more on continuity of maximal monotone mappings	1977	Marián Fabián

Common Coauthors

Coauthor	Papers Together
Václav Zizler	54
Petr Habala	27
Petr Hájek	27
Vicente Montesinos	21
V. Montesinos	12
Radek Cibulka	9
Jan Pelant	9
Vicente Montesinos Santalucía	9
Jonathan M. Borwein	7
Gilles Godefroy	5
Boris S. Mordukhovich	5
Alexander Y. Kruger	5
J. P. Revalski	3
Jon D. Vanderwerff	3
David Bartl	3
A. D. Ioffe	3
Marek Cúth	3
Jiří V. Outrata	2
Patrick Mehlitz	2
J. H. Whitfield	2
Lixin Cheng	2
Petr Hájek	2
David Preiss	2
Philip D. Loewen	2
Petr Hájek	2
René Henrion	2
Edouard Pauwels	1
M. J. Sevilla	1
Ondřej F. K. Kalenda	1
Luděk Zajı́ček	1
Petr Hájek	1
J. H. M. WHTTFIELD	1
Tomáš Roubal	1
Didier Aussel	1
Stanimir Troyanski	1
Alberto Carrere	1
J. P. Revalski	1
Martin Heisler	1
Jean‐Baptiste Hiriart‐Urruty	1
Jan Kolář	1
Jan Kolář	1
Vicente Montesinos Julve	1
Sebastián Lajara	1
Daniel Azagra	1
A. Ioffe	1
Catherine Finet	1
Petr Čížek	1
Eva Matoušková	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Smoothness and renormings in Banach spaces	1993	Robert Deville Gilles Godefroy Václav Zizler	39
+	Gâteaux differentiability of convex functions and topology : weak asplund spaces	1997	Marián Fabián	27
+ PDF Chat	Convex Functions, Monotone Operators and Differentiability	1989	R. R. Phelps	19
+	The heredity problem for weakly compactly generated Banach spaces	1974	Haskell P. Rosenthal	17
+	The Structure of Weakly Compact Sets in Banach Spaces	1968	D. Amir Joram Lindenstrauss	17
+	Functional Analysis and Infinite-Dimensional Geometry	2001	Marián Fabián Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler	17
+ PDF Chat	Geometry of Banach Spaces-Selected Topics	1975	Joseph Diestel	15
+	Functional Analysis and Infinite-Dimensional Geometry	2001	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Santalucía Jan Pelant Václav Zizler	15
+	Inner characterizations of weakly compactly generated Banach spaces and their relatives	2004	Marián Fabian Gilles Godefroy V. Montesinos Václav Zizler	14
+	Classical Banach Spaces I	1977	Joram Lindenstrauss Lior Tzafriri	14
+	Biorthogonal Systems in Banach Spaces	2007	Petr Hájek Vicente Montesinos Santalucía Jon D. Vanderwerff Václav Zizler	13
+ PDF Chat	The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ($R^r$)	1987	Vassiliki Farmaki	12
+	Trees in Renorming Theory	1999	Richard Haydon	10
+	Banach spaces which are Asplund spaces	1975	I. Namioka R. R. Phelps	10
+ PDF Chat	Continuous images of weakly compact subsets of Banach spaces	1977	Yoav Benyamini Mary Ellen Rudin Michael Wage	10
+ PDF Chat	Banach space theory: the basis for linear and nonlinear analysis	2011	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler	10
+	Sequences and Series in Banach Spaces	1984	Joseph Diestel	10
+	Classical Banach Spaces I: Sequence Spaces	1977	Lior Tzafriri Lior Tzafriri Joram Lindenstrauss Joram Lindenstrauss	10
+	The structure of uniformly Gâteaux smooth Banach spaces	2001	Marián Fabian Gilles Godefroy Václav Zizler	9
+	Smoothness and its equivalents in weakly compactly generated Banach spaces	1974	Kamil John Václav Zizler	9
+ PDF Chat	Espaces de Banach Faiblement κ-Analytiques	1979	Michel Talagrand	9
+	Pointwise semicontinuous smooth norms	2002	Marián Fabian V. Montesinos Václav Zizler	9
+ PDF Chat	On weakly countably determined Banach spaces	1987	Sophocles Mercourakis	8
+ PDF Chat	On one generalization of weakly compactly generated Banach spaces	1981	L. Vašák	8
+	Hilbert-generated spaces	2003	Marián Fabian Gilles Godefroy Petr Hájek Václav Zizler	8
+	Metric regularity and subdifferential calculus	2000	A. D. Ioffe	8
+ PDF Chat	On Weakly Lindelof Banach Spaces	1993	Spiros A. Argyros Sophocles Mercourakis	8
+	Convex Functions, Monotone Operators and Differentiability	1993	R. R. Phelps	8
+ PDF Chat	On the structure of weakly compact subsets of Hilbert spaces and applications to the geometry of Banach spaces	1985	Spiros A. Argyros Vassiliki Farmaki	7
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	7
+	The Classical Banach Spaces	2000	Joram Lindenstrauss Lior Tzafriri	7
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	7
+	Some remarks on weakly compactly generated banach spaces	1974	William B. Johnson Joram Lindenstrauss	7
+	Implicit Functions and Solution Mappings	2014	Asen L. Dontchev R. T. Rockafellar	7
+	Optimization of functions on certain subsets of Banach spaces	1978	Charles Stegall	6
+ PDF Chat	Weakly compact sets and smooth norms in Banach spaces	2002	Marián Fabián Vicente Montesinos Václav Zizler	6
+ PDF Chat	Separable determination of integrability and minimality of the Clarke subdifferential mapping	1999	Jonathan M. Borwein Warren B. Moors	6
+	Topics in Banach Space Theory	2006	Fernando Albiac N. J. Kalton	6
+	Embedding weakly compact sets into Hilbert space	1976	Yoav Benyamini T. Starbird	6
+	Factoring weakly compact operators	1974	William J. Davis T. Figiel William B. Johnson A. Pełczyński	6
+	ON SUBDIFFERENTIABILITY SPACES	1983	Александр Давидович Иоффе	6
+	Weak∗ locally uniformly rotund norms and descriptive compact spaces	2003	M. Raja	6
+	Banach Space Theory	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler	6
+ PDF Chat	A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions	1987	Jonathan M. Borwein David Preiss	6
+ PDF Chat	Borel selectors for upper semi-continuous set-valued maps	1985	J. E. Jayne C. A. Rogers	6
+	Geometric Nonlinear Functional Analysis	1999	Yoav Benyamini Joram Lindenstrauss	6
+ PDF Chat	The Radon-Nikodym property in conjugate Banach spaces	1975	Charles Stegall	6
+	Differentiability of Lipschitz functions on Banach spaces	1990	David Preiss	6
+ PDF Chat	On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability	1993	Jonathan M. Borwein Marián Fabian	6
+	James' Theorem Fails for Starlike Bodies	2001	Daniel Azagra Robert Deville	5