Admissibility of Unbounded Operators and Wellposedness of Linear Systems in Banach Spaces

Bernhard H. Haak, Peer Christian Kunstmann

Type: Article

Publication Date: 2005-12-20

Citations: 34

DOI: https://doi.org/10.1007/s00020-005-1416-y

View Publication

Locations

HAL (Le Centre pour la Communication Scientifique Directe) - View
Integral Equations and Operator Theory - View

Similar Works

Action	Title	Year	Authors
+	Bounded and Unbounded Linear Operators	2011	Paul H. Bezandry Toka Diagana
+	Bounded and Unbounded Linear Operators	1987	Vasile I. Istrăţescu
+	Unbounded linear operators in Hilbert spaces	2019	Şerban-Valentin Strâtilâ László Zsidó
+	Unbounded Linear Operators in Hilbert Spaces	2002	Jean-Pierre Antoine Atsushi Inoue Camillo Trapanı
+	Unbounded Fredholm operators of Banach spaces	2008	Assadollah Niknam
+	Well-posed solvability of functional-differential equations with unbounded operator coefficients	2014	Rauan Akylzhanov В. В. Власов
+	Admissibility and Observability of Observation Operators for Semilinear Problems	2009	Mahmoud Baroun Birgit Jacob
+ PDF Chat	Differential inequalities with unbounded operators in Banach spaces	1960	W. Młak
+	Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators	1976	W. V. Petryshyn
+	Admissibility of Linear Systems in Banach Spaces	2005	Faming Guo Uestc Chengdu
+	Conditions for Admissibility of Observation Operators and Boundedness of Hankel Operators	2003	Birgit Jacob J. R. Partington Sandra Pott
+	Passivity and admissibility for evolution equations in Banach spaces	1982	Athanassios G. Kartsatos José Gerardo Cardona Toro
+ PDF Chat	Saturation of bounded linear operators	1978	Toshihiko Nishishiraho
+	Controllability of infinite dimensional linear systems with unbounded control operator in Banach spaces	2011	Liu Liu Jiang Jiang
+	Well-posedness of linear partial differential equations with unbounded delay operators	2004	Weisheng Jiang Faming Guo Falun Huang
+	Unbounded Operators in Hilbert Spaces	2020
+ PDF Chat	Weighted Admissibility and Wellposedness of Linear Systems in Banach Spaces	2007	Bernhard H. Haak Peer Christian Kunstmann
+	Fundamental Properties of Bounded Linear Operators	2001
+	Property (R) for Bounded Linear Operators	2011	Pietro Aiena Jesús R. Guillén Pedro Peña
+	Well-posedness and weak well-posedness in Banach spaces	1997	Diethard Pallaschke S. Rolewicz

Works That Cite This (32)

Action	Title	Year	Authors
+	Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces	2008	Jan Maas Jan van Neerven
+	A note on maximal estimates for stochastic convolutions	2010	Mark Veraar Lutz Weis
+	Hoermander type functional calculus and square function estimates	2014	Christoph Kriegler
+	$$\alpha $$ α -Admissibility for Ritt Operators	2013	Christian Le Merdy
+ PDF Chat	On the $\ell^s$-boundedness of a family of integral operators	2016	Chiara Gallarati Emiel Lorist Mark Veraar
+	A NOTE ON MAXIMAL ESTIMATES FOR	2011	Stochastic Convolutions Mark Veraar Lutz Weis
+	Estimates for vector-valued holomorphic functions and Littlewood-Paley-Stein theory	2015	Mark Veraar Lutz Weis
+	γ-Bounded representations of amenable groups	2010	Christian Le Merdy
+	Cylindrical continuous martingales and stochastic integration in infinite dimensions	2016	Mark Veraar Ivan Yaroslavtsev
+	Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces	2009	Jan Maas Jan van Neerven

Works Cited by This (22)

Action	Title	Year	Authors
+	Perturbation theorems for maximal $L_p$-regularity	2001	Peer Christian Kunstmann Lutz Weis
+ PDF Chat	Perturbation, interpolation, and maximal regularity	2006	Bernhard H. Haak Markus Haase Peer Christian Kunstmann
+	An Introduction to Infinite-Dimensional Linear Systems Theory	1995	Ruth F. Curtain Hans Zwart
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia
+	New thoughts on Besov spaces	1976	Jaak Peetre
+	Two conjectures on the admissibility of control operators	1991	George H. Weiss
+	Some results on Banach spaces without local unconditional structure	1978	Gilles Pisier
+	Operator Theory and Harmonic Analysis	2021	Alexey Karapetyants И. В. Павлов Albert N. Shiryaev
+ PDF Chat	Transfer functions of regular linear systems. I. Characterizations of regularity	1994	George H. Weiss
+ PDF Chat	The $H^{\infty}-$ calculus and sums of closed operators	2001	N. J. Kalton Lutz Weis