Frank Hansen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Operator means and the reduced relative quantum entropy	2024	Frank Hansen
+ PDF Chat	Geometric properties for a class of deformed trace functions	2024	Frank Hansen
+	Geometric properties for a class of deformed trace functions	2023	Frank Hansen
+	On reduced Tsallis relative entropy	2023	Shigeru Furuichi Frank Hansen
+ PDF Chat	Correction to: Trace Functions with Applications in Quantum Physics	2022	Frank Hansen
+	Reduced relative quantum entropy	2022	Frank Hansen
+	A note on the parallel sum	2021	Frank Hansen
+	A note on the parallel sum	2021	Frank Hansen
+ PDF Chat	A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information	2021	Paolo Gibilisco Davide Girolami Frank Hansen
+ PDF Chat	Variational representations related to Tsallis relative entropy	2020	Guanghua Shi Frank Hansen
+	Geodesic regression	2020	Frank Hansen
+	Geodesic regression	2020	Frank Hansen
+	Convex multivariate operator means	2018	Frank Hansen
+ PDF Chat	Operator maps of Jensen-type	2018	Frank Hansen Mohammad Sal Moslehian Hamed Najafi
+ PDF Chat	Peierls–Bogolyubov’s Inequality for Deformed Exponentials	2017	Frank Hansen Jin Liang Guanghua Shi
+ PDF Chat	Perspectives and completely positive maps	2017	Frank Hansen
+ PDF Chat	An Inequality for expectation of means of positive random variables	2016	Paolo Gibilisco Frank Hansen
+ PDF Chat	Quantum Entropy Derived from First Principles	2016	Frank Hansen
+ PDF Chat	A Note on Quantum Entropy	2016	Frank Hansen
+	Perspectives and partial traces	2016	Frank Hansen
+	Convex and Monotone Matrix Functions and Their Applications in Operator Theory	2016	Frank Hansen
+ PDF Chat	Characterisation of Matrix Entropies	2015	Frank Hansen Zhi‐Hua Zhang
+	Regular operator mappings and multivariate geometric means (Theory of operator means and related topics)	2015	Frank Hansen
+ PDF Chat	Golden–Thompson’s Inequality for Deformed Exponentials	2015	Frank Hansen
+ PDF Chat	Multivariate extensions of the Golden-Thompson inequality	2015	Frank Hansen
+	Regular operator mappings and multivariate geometric means	2014	Frank Hansen
+	Geometric means of several variables	2014	Frank Hansen
+	Regular operator mappings and multivariate geometric means	2014	Frank Hansen
+ PDF Chat	Non-commutative perspectives	2014	Edward G. Effros Frank Hansen
+	Regular operator mappings and multivariate geometric means	2014	Frank Hansen
+ PDF Chat	Trace Functions with Applications in Quantum Physics	2013	Frank Hansen
+	Non-commutative perspectives	2013	Edward G. Effros Frank Hansen
+	Convexity of the residual entropy	2013	Frank Hansen
+ PDF Chat	WYD-like Skew Information Measures	2013	Frank Hansen
+	The fast track to Löwner’s theorem	2013	Frank Hansen
+	Trace functions with applications in quantum physics	2013	Frank Hansen
+	Non-commutative perspectives	2013	Edward G. Effros Frank Hansen
+ PDF Chat	Convexity of quantum <i>χ</i> <sup>2</sup> -divergence	2011	Frank Hansen
+	GENERALIZED NONCOMMUTATIVE HARDY AND HARDY–HILBERT TYPE INEQUALITIES	2010	Frank Hansen Kristina Krulić Himmelreich ‎Josip Pečarić Lars-Erik Persson
+ PDF Chat	Metric-Adjusted Skew Information: Convexity and Restricted Forms of Superadditivity	2010	Liang Cai Frank Hansen
+ PDF Chat	Non-commutative Hardy inequalities	2009	Frank Hansen
+	On a correspondence between regular and non-regular operator monotone functions	2009	Paolo Gibilisco Frank Hansen Tommaso Isola
+	Some operator monotone functions	2008	Frank Hansen
+ PDF Chat	Inequalities for Quantum Skew Information	2008	Koenraad M. R. Audenaert Liang Cai Frank Hansen
+ PDF Chat	Metric adjusted skew information	2008	Frank Hansen
+	Some operator monotone functions	2008	Frank Hansen
+	On a correspondence between regular and non-regular operator monotone functions	2008	Paolo Gibilisco Frank Hansen Tommaso Isola
+ PDF Chat	Jensen's operator inequality and its converses	2007	Frank Hansen Josip ‎Pečarić I‎. ‎Perić
+ PDF Chat	The Wigner-Yanase Entropy is not Subadditive	2007	Frank Hansen
+	Differential analysis of matrix convex functions II	2007	Frank Hansen Jun Tomiyama
+	Characterizations of symmetric monotone metrics on the state space of quantum systems	2006	Frank Hansen
+	Differential analysis of matrix convex functions	2006	Frank Hansen Jun Tomiyama
+ PDF Chat	Extensions of Lieb’s Concavity Theorem	2006	Frank Hansen
+ PDF Chat	Trace functions as Laplace transforms	2006	Frank Hansen
+	Characterization of symmetric monotone metrics on matrix spaces	2006	Frank Hansen
+	Jensen's inequality for conditional expectations	2006	Frank Hansen
+	Monotone trace functions of several variables	2006	Frank Hansen
+	Jensen's operator inequality and its converses	2006	Frank Hansen Josip ‎Pečarić I‎. ‎Perić
+	Characterization of symmetric monotone metrics on the state space of quantum systems	2006	Frank Hansen
+	Extensions of the BMV-conjecture(Recent Developments in Linear Operator Theory and its Applications)	2005	Frank Hansen
+ PDF Chat	MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES	2005	Frank Hansen
+	Jensen's inequality for conditional expectations	2005	Frank Hansen
+	LOWER BOUNDS ON PRODUCTS OF CORRELATION COEFFICIENTS	2004	Frank Hansen
+ PDF Chat	GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS	2003	Frank Hansen Guoxing Ji Jun Tomiyama
+ PDF Chat	Jensen's Trace Inequality in Several Variables	2003	Frank Hansen Gert K. Pedersen
+ PDF Chat	JENSEN'S OPERATOR INEQUALITY	2003	Frank Hansen Gert K. Pedersen
+	Jensen's trace inequality in several variables	2003	Frank Hansen Gert K. Pedersen
+ PDF Chat	Operator monotone functions of several variables	2003	Frank Hansen
+	Convex trace functions of several variables	2002	Frank Hansen
+	Operator monotone functions of several variables	2002	Frank Hansen
+ PDF Chat	Jensen’s operator inequality for functions of several variables	2000	Huzihiro Araki Frank Hansen
+	Operator Inequalities Associated with Jensen’s Inequality	2000	Frank Hansen
+ PDF Chat	Correction to 'Existence theorems for ordered variants of Weyl quantization'	1999	Frank Hansen
+	Pressure‐flow studies: Short‐time repeatability	1999	Frank Hansen Lene Olsen Ali Atan Jørgen Nordling
+	Pressure‐flow studies: Short‐time repeatability	1999	Frank Hansen Lene Olsen Ali Atan Jørgen Nordling
+	Jensen's Operator Inequality for Functions of Several Variables	1998	Huzihiro Araki Frank Hansen
+ PDF Chat	A Correction to: 'Operator Convex Functions of Several Variables'	1997	Frank Hansen
+ PDF Chat	Operator Convex Functions of Several Variables	1997	Frank Hansen
+	Characterizations of operator convex functions of several variables(Recent topics on the operator theory about the structure of operators)	1997	Frank Hansen
+ PDF Chat	Jensen’s operator inequality for functions of two variables	1997	Frank Hansen
+ PDF Chat	Perturbation Formulas for Traces on $C^*$-algebras	1995	Frank Hansen Gert K. Pedersen
+ PDF Chat	The Moyal Product and Spectral Theory for a Class of Infinite Dimensional Matrices	1990	Frank Hansen
+	Quantum mechanics in phase space	1984	Frank Hansen
+	Means and concave products of positive semi-definite matrices	1983	Frank Hansen
+	Jensen's inequality for operators and L�wner's theorem	1982	Frank Hansen Gert Kj�rg�rd Pedersen
+	Selfadjoint means and operator monotone functions	1981	Frank Hansen
+ PDF Chat	Selfpolar Norms on an Indefinite Inner Product Space	1980	Frank Hansen
+	An operator inequality	1980	Frank Hansen
+	Quantum Mechanics in Phase Space (Operator Algebras and Their Applications )	1980	Frank Hansen
+	Towards a Spectral Theory on an Indefinite Inner Product Space (作用素環の研究とその応用)	1979	Frank Hansen
+ PDF Chat	Inner one-parameter groups acting on a factor.	1977	Frank Hansen
+ PDF Chat	Perturbations of centre-fixing dynamical systems.	1977	Frank Hansen Dorte Olesen

Common Coauthors

Coauthor	Papers Together
Gert K. Pedersen	4
Paolo Gibilisco	4
Edward G. Effros	3
Jun Tomiyama	3
Josip ‎Pečarić	3
Huzihiro Araki	2
Guanghua Shi	2
I‎. ‎Perić	2
Tommaso Isola	2
Liang Cai	2
Lene Olsen	2
Jørgen Nordling	2
Ali Atan	2
Mohammad Sal Moslehian	1
Guoxing Ji	1
Shigeru Furuichi	1
Kristina Krulić Himmelreich	1
Lars-Erik Persson	1
Zhi‐Hua Zhang	1
Davide Girolami	1
Gert Kj�rg�rd Pedersen	1
Hamed Najafi	1
Koenraad M. R. Audenaert	1
Dorte Olesen	1
Jin Liang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Jensen's inequality for operators and L�wner's theorem	1982	Frank Hansen Gert Kj�rg�rd Pedersen	24
+ PDF Chat	Monotone and convex operator functions	1955	Julius S. Bendat Seymour Sherman	23
+	Convex trace functions and the Wigner-Yanase-Dyson conjecture	1973	Élliott H. Lieb	22
+	Means of positive linear operators	1980	Fumio Kubo Tsuyoshi Andô	18
+	Concavity of certain maps on positive definite matrices and applications to Hadamard products	1979	T. Andô	17
+ PDF Chat	JENSEN'S OPERATOR INEQUALITY	2003	Frank Hansen Gert K. Pedersen	15
+ PDF Chat	A Schwarz inequality for convex operator functions	1957	Chandler Davis	15
+	An operator inequality	1980	Frank Hansen	13
+ PDF Chat	On some classes of analytic functions of several variables	1961	Adam Korányi	12
+ PDF Chat	Perturbation Formulas for Traces on $C^*$-algebras	1995	Frank Hansen Gert K. Pedersen	11
+ PDF Chat	A matrix convexity approach to some celebrated quantum inequalities	2009	Edward G. Effros	11
+	Monotone metrics on matrix spaces	1996	Dėnes Petz	10
+ PDF Chat	Operator Convex Functions of Several Variables	1997	Frank Hansen	10
+	On Some Classes of Analytic Functions of Several Variables	1961	Adam Korányi	9
+	The fast track to Löwner’s theorem	2013	Frank Hansen	9
+ PDF Chat	Jensen’s operator inequality for functions of several variables	2000	Huzihiro Araki Frank Hansen	9
+ PDF Chat	Metric adjusted skew information	2008	Frank Hansen	8
+ PDF Chat	Extensions of Lieb’s Concavity Theorem	2006	Frank Hansen	8
+	Matrix convexity of functions of two variables	1993	Jaspal Singh Aujla	7
+	Über konvexe Matrixfunktionen	1936	F. Jonathan Kraus	7
+ PDF Chat	Monotone and Convex Operator Functions	1955	Julius S. Bendat Seymour Sherman	7
+ PDF Chat	Operator monotone functions of several variables	2003	Frank Hansen	7
+ PDF Chat	Non-commutative perspectives	2014	Edward G. Effros Frank Hansen	7
+	Some operator inequalities of the schwarz type	1974	Élliott H. Lieb Mary Beth Ruskai	7
+ PDF Chat	A Hilbert Space Problem Book	1982	Paul R. Halmos	6
+	C-Algebras and Their Automorphism Groups	1979	Gert Kjærgård Pedersen	6
+	Functional calculus for sesquilinear forms and the purification map	1975	W. Pusz S. L. Woronowicz	6
+ PDF Chat	CONVEX MULTIVARIABLE TRACE FUNCTIONS	2002	Élliott H. Lieb Gert K. Pedersen	6
+ PDF Chat	Inequalities for Quantum Skew Information	2008	Koenraad M. R. Audenaert Liang Cai Frank Hansen	6
+	Means and concave products of positive semi-definite matrices	1983	Frank Hansen	6
+	Characterizations of symmetric monotone metrics on the state space of quantum systems	2006	Frank Hansen	6
+	Selfadjoint means and operator monotone functions	1981	Frank Hansen	6
+	Series and parallel addition of matrices	1969	William N. Anderson R. J. Duffin	5
+ PDF Chat	A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity	2008	Eric A. Carlen Élliott H. Lieb	5
+ PDF Chat	Uncertainty principle and quantum Fisher information. II.	2007	Paolo Gibilisco Daniele Imparato Tommaso Isola	5
+ PDF Chat	Trace Functions with Applications in Quantum Physics	2013	Frank Hansen	5
+	Operator Inequalities Associated with Jensen’s Inequality	2000	Frank Hansen	5
+ PDF Chat	Jensen's Trace Inequality in Several Variables	2003	Frank Hansen Gert K. Pedersen	5
+	Operator monotone functions of several variables	2002	Frank Hansen	4
+	On some operator inequalities	1987	T. Andô	4
+ PDF Chat	Jensen’s operator inequality for functions of two variables	1997	Frank Hansen	4
+ PDF Chat	Some operator monotone functions	1972	Gert K. Pedersen	4
+ PDF Chat	Expansional in banach algebras	1973	Huzihiro Araki	4
+	Matrix power means and the Karcher mean	2011	Yongdo Lim Miklós Pálfia	4
+	Riemannian geometry and matrix geometric means	2005	Rajendra Bhatia John Holbrook	4
+	Convex trace functions of several variables	2002	Frank Hansen	4
+	Perspectives of matrix convex functions	2011	Ali Ebadian Ismail Nikoufar M‎. ‎Eshaghi Gordji	4
+	Characterizations of operations derived from network connections	1976	Katsuyoshi Nishio Tsuyoshi Andô	4
+	Differential analysis of matrix convex functions	2006	Frank Hansen Jun Tomiyama	4
+	Differential Analysis	1980	T. M. Flett	4