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Hansen, Frank-Peter

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Author ID: hansen.frank-peter Recent zbMATH articles by "Hansen, Frank-Peter"
Published as: Hansen, Frank; Hansen, Frank-Peter
External Links: MGP · ORCID
Documents Indexed: 60 Publications since 1977, including 3 Books
Reviewing Activity: 9 Reviews

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 578 times in 351 Documents Cited by Year
Jensen’s inequality for operators and Loewner’s theorem. Zbl 0473.47011
Hansen, Frank; Pedersen, Gert Kjaergard
121
1982
An operator inequality. Zbl 0407.47012
Hansen, Frank
56
1980
Jensen’s operator inequality. Zbl 1051.47014
Hansen, Frank; Pedersen, Gert K.
56
2003
Jensen’s operator inequality and its converses. Zbl 1151.47025
Hansen, Frank; Pečarić, Josip; Perić, Ivan
27
2007
Metric adjusted skew information. Zbl 1205.94058
Hansen, Frank
26
2008
Extensions of Lieb’s concavity theorem. Zbl 1157.47305
Hansen, Frank
21
2006
The fast track to Löwner’s theorem. Zbl 1284.26011
Hansen, Frank
21
2013
Non-commutative perspectives. Zbl 1308.47014
Effros, E. G.; Hansen, Frank
18
2014
Operator convex functions of several variables. Zbl 0902.47013
Hansen, Frank
17
1997
Trace functions as Laplace transforms. Zbl 1111.47022
Hansen, Frank
14
2006
Gaps between classes of matrix monotone functions. Zbl 1047.26008
Hansen, Frank; Ji, Guoxing; Tomiyama, Jun
13
2004
Operator monotone functions of several variables. Zbl 1035.47005
Hansen, Frank
13
2003
The Wigner-Yanase entropy is not subadditive. Zbl 1111.82006
Hansen, Frank
12
2007
Regular operator mappings and multivariate geometric means. Zbl 1308.47022
Hansen, Frank
12
2014
Differential analysis of matrix convex functions. Zbl 1116.26006
Hansen, Frank; Tomiyama, Jun
11
2007
Metric-adjusted skew information: convexity and restricted forms of superadditivity. Zbl 1194.94173
Cai, Liang; Hansen, Frank
11
2010
Perturbation formulas for traces on \(C^*\)-algebras. Zbl 0829.46043
Hansen, Frank; Pedersen, Gert K.
11
1995
Differential analysis of matrix convex functions. II. Zbl 1167.26307
Hansen, Frank; Tomiyama, Jun
10
2009
Jensen’s trace inequality in several variables. Zbl 1049.46037
Hansen, Frank; Pedersen, Gert K.
8
2003
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
8
2000
Selfadjoint means and operator monotone functions. Zbl 0461.47009
Hansen, Frank
8
1981
Inequalities for quantum skew information. Zbl 1161.81317
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
8
2008
Trace functions with applications in quantum physics. Zbl 1291.81072
Hansen, Frank
7
2014
Means and concave products of positive semi-definite matrices. Zbl 0495.47021
Hansen, Frank
7
1983
Non-commutative Hardy inequalities. Zbl 1188.47017
Hansen, Frank
6
2009
Operator inequalities associated with Jensen’s inequalities. Zbl 1040.47012
Hansen, Frank
6
2000
Characterisation of matrix entropies. Zbl 1330.60017
Hansen, Frank; Zhang, Zhihua
5
2015
Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. Zbl 1204.26026
Hansen, Frank; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
4
2010
Jensen’s operator inequality for functions of two variables. Zbl 0870.47013
Hansen, Frank
4
1997
Functions of matrices with nonnegative entries. Zbl 0745.15013
Hansen, Frank
4
1992
Quantum entropy derived from first principles. Zbl 1360.81036
Hansen, Frank
3
2016
Convexity of quantum \(\chi ^{2}\)-divergence. Zbl 1256.81023
Hansen, Frank
3
2011
Multivariate extensions of the Golden-Thompson inequality. Zbl 1337.15019
Hansen, Frank
3
2015
Expected utility with subjective events. Zbl 1254.91103
Gyntelberg, Jacob; Hansen, Frank
3
2012
Selfpolar norms on an indefinite inner product space. Zbl 0458.46017
Hansen, Frank
3
1980
Perspectives and completely positive maps. Zbl 1454.47023
Hansen, Frank
2
2017
Extrema for concave operator mappings. Zbl 0815.47014
Hansen, Frank
2
1994
Some operator monotone functions. Zbl 1156.81341
Hansen, Frank
2
2009
A note on quantum entropy. Zbl 1413.81006
Hansen, Frank
2
2016
The Moyal product and spectral theory for a class of infinite dimensional matrices. Zbl 0748.46043
Hansen, Frank
2
1990
Perturbations of centre-fixing dynamical systems. Zbl 0374.46054
Hansen, Frank; Olesen, Dorte
2
1978
Convex trace functions of several variables. Zbl 1034.47005
Hansen, Frank
2
2002
Golden-Thompson’s inequality for deformed exponentials. Zbl 1323.82003
Hansen, Frank
1
2015
WYD-like skew information measures. Zbl 1272.82005
Hansen, Frank
1
2013
Monotone trace functions of several variables. Zbl 1093.47016
Hansen, Frank
1
2005
Variational representations related to Tsallis relative entropy. Zbl 1459.94078
Shi, Guanghua; Hansen, Frank
1
2020
Variational representations related to Tsallis relative entropy. Zbl 1459.94078
Shi, Guanghua; Hansen, Frank
1
2020
Perspectives and completely positive maps. Zbl 1454.47023
Hansen, Frank
2
2017
Quantum entropy derived from first principles. Zbl 1360.81036
Hansen, Frank
3
2016
A note on quantum entropy. Zbl 1413.81006
Hansen, Frank
2
2016
Characterisation of matrix entropies. Zbl 1330.60017
Hansen, Frank; Zhang, Zhihua
5
2015
Multivariate extensions of the Golden-Thompson inequality. Zbl 1337.15019
Hansen, Frank
3
2015
Golden-Thompson’s inequality for deformed exponentials. Zbl 1323.82003
Hansen, Frank
1
2015
Non-commutative perspectives. Zbl 1308.47014
Effros, E. G.; Hansen, Frank
18
2014
Regular operator mappings and multivariate geometric means. Zbl 1308.47022
Hansen, Frank
12
2014
Trace functions with applications in quantum physics. Zbl 1291.81072
Hansen, Frank
7
2014
The fast track to Löwner’s theorem. Zbl 1284.26011
Hansen, Frank
21
2013
WYD-like skew information measures. Zbl 1272.82005
Hansen, Frank
1
2013
Expected utility with subjective events. Zbl 1254.91103
Gyntelberg, Jacob; Hansen, Frank
3
2012
Convexity of quantum \(\chi ^{2}\)-divergence. Zbl 1256.81023
Hansen, Frank
3
2011
Metric-adjusted skew information: convexity and restricted forms of superadditivity. Zbl 1194.94173
Cai, Liang; Hansen, Frank
11
2010
Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. Zbl 1204.26026
Hansen, Frank; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
4
2010
Differential analysis of matrix convex functions. II. Zbl 1167.26307
Hansen, Frank; Tomiyama, Jun
10
2009
Non-commutative Hardy inequalities. Zbl 1188.47017
Hansen, Frank
6
2009
Some operator monotone functions. Zbl 1156.81341
Hansen, Frank
2
2009
Metric adjusted skew information. Zbl 1205.94058
Hansen, Frank
26
2008
Inequalities for quantum skew information. Zbl 1161.81317
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
8
2008
Jensen’s operator inequality and its converses. Zbl 1151.47025
Hansen, Frank; Pečarić, Josip; Perić, Ivan
27
2007
The Wigner-Yanase entropy is not subadditive. Zbl 1111.82006
Hansen, Frank
12
2007
Differential analysis of matrix convex functions. Zbl 1116.26006
Hansen, Frank; Tomiyama, Jun
11
2007
Extensions of Lieb’s concavity theorem. Zbl 1157.47305
Hansen, Frank
21
2006
Trace functions as Laplace transforms. Zbl 1111.47022
Hansen, Frank
14
2006
Monotone trace functions of several variables. Zbl 1093.47016
Hansen, Frank
1
2005
Gaps between classes of matrix monotone functions. Zbl 1047.26008
Hansen, Frank; Ji, Guoxing; Tomiyama, Jun
13
2004
Jensen’s operator inequality. Zbl 1051.47014
Hansen, Frank; Pedersen, Gert K.
56
2003
Operator monotone functions of several variables. Zbl 1035.47005
Hansen, Frank
13
2003
Jensen’s trace inequality in several variables. Zbl 1049.46037
Hansen, Frank; Pedersen, Gert K.
8
2003
Convex trace functions of several variables. Zbl 1034.47005
Hansen, Frank
2
2002
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
8
2000
Operator inequalities associated with Jensen’s inequalities. Zbl 1040.47012
Hansen, Frank
6
2000
Operator convex functions of several variables. Zbl 0902.47013
Hansen, Frank
17
1997
Jensen’s operator inequality for functions of two variables. Zbl 0870.47013
Hansen, Frank
4
1997
Perturbation formulas for traces on \(C^*\)-algebras. Zbl 0829.46043
Hansen, Frank; Pedersen, Gert K.
11
1995
Extrema for concave operator mappings. Zbl 0815.47014
Hansen, Frank
2
1994
Functions of matrices with nonnegative entries. Zbl 0745.15013
Hansen, Frank
4
1992
The Moyal product and spectral theory for a class of infinite dimensional matrices. Zbl 0748.46043
Hansen, Frank
2
1990
Means and concave products of positive semi-definite matrices. Zbl 0495.47021
Hansen, Frank
7
1983
Jensen’s inequality for operators and Loewner’s theorem. Zbl 0473.47011
Hansen, Frank; Pedersen, Gert Kjaergard
121
1982
Selfadjoint means and operator monotone functions. Zbl 0461.47009
Hansen, Frank
8
1981
An operator inequality. Zbl 0407.47012
Hansen, Frank
56
1980
Selfpolar norms on an indefinite inner product space. Zbl 0458.46017
Hansen, Frank
3
1980
Perturbations of centre-fixing dynamical systems. Zbl 0374.46054
Hansen, Frank; Olesen, Dorte
2
1978
all top 5

Cited by 348 Authors

28 Hansen, Frank-Peter
23 Hiai, Fumio
15 Petz, Dénes
13 Uchiyama, Mitsuru
9 Moslehian, Mohammad Sal
9 Pečarić, Josip
8 Kian, Mohsen
8 Nikoufar, Ismail
8 Osaka, Hiroyuki
7 Bikchentaev, Aĭrat Midkhatovich
7 Dinh Trung Hoa
7 Furuta, Takayuki
7 Kim, Sejong
7 Tomiyama, Jun
6 Chansangiam, Pattrawut
6 Gibilisco, Paolo
6 Isola, Tommaso
5 Furuichi, Shigeru
5 Kosaki, Hideki
5 Mićić, Jadranka
5 Wada, Shuhei
4 Bhatia, Rajendra
4 Cai, Liang
4 Krnić, Mario
4 Lim, Yongdo
4 Luo, Shunlong
4 Najafi, Hamed
4 Pavić, Zlatko
4 Pedersen, Gert Kjærgård
4 Rashid, Mohammad Hussein Mohammad
4 Shi, Guanghua
4 Virosztek, Dániel
3 Anjidani, Ehsan
3 Audenaert, Koenraad M. R.
3 Aujla, Jaspal Singh
3 Bakherad, Mojtaba
3 Cao, Huaixin
3 Dragomir, Sever Silvestru
3 Jiang, Tianpei
3 Lee, Hosoo
3 Moradi, Hamid Reza
3 Mosonyi, Milán
3 Niezgoda, Marek
3 Pálfia, Miklós
3 Pascoe, James Eldred
3 Pereverzev, Sergei V.
3 Rastëgin, Alekseĭ Èduardovich
3 Ruskai, Mary Beth
3 Sano, Takashi
3 Sendov, Hristo S.
3 Seo, Yuki
3 Tikhonov, Oleg Evgen’evich
3 Tomamichel, Marco
3 Tropp, Joel A.
3 Vasudeva, Harkrishan Lal
3 Yanagi, Kenjiro
2 Ando, Tsuyoshi
2 Andruchow, Esteban
2 Berta, Mario
2 Besenyei, Ádám
2 Bourin, Jean-Christophe
2 Braha, Naim Latif
2 Carlen, Eric Anders
2 Chen, Jein-Shan
2 Dubin, Daniel A.
2 Dumitru, Raluca
2 Ebadian, Ali
2 Eshaghi Gordji, Madjid
2 Fan, Yajing
2 Farenick, Douglas R.
2 Franco, Jose A.
2 Gao, Fugen
2 Garayev, Mübariz Tapdıgoğlu
2 Guillot, Dominique
2 Hennings, Mark A.
2 Hwang, Jinmi
2 Imparato, Daniele
2 Ito, Masatoshi
2 Jain, Tanvi
2 Kamei, Eizaburo
2 Kastoryano, Michael J.
2 Khare, Apoorva
2 Larotonda, Gabriel
2 Lieb, Elliott H.
2 Mikić, Rozarija
2 Pan, Shaohua
2 Pietrzycki, Paweł
2 Pitrik, József
2 Rajaratnam, Bala
2 Ricard, Éric
2 Saunderson, James
2 Shamohammadi, Moosa
2 Shao, Jingjing
2 Silvestrov, Sergei D.
2 Skripka, Anna
2 Tanahashi, Kôtarô
2 Temme, Kristan
2 Uchiyama, Atsushi
2 Yamazaki, Takeaki
2 Yuan, Jiangtao
...and 248 more Authors
all top 5

Cited in 107 Serials

71 Linear Algebra and its Applications
17 Journal of Mathematical Physics
15 Linear and Multilinear Algebra
14 Journal of Mathematical Analysis and Applications
13 Letters in Mathematical Physics
13 Journal of Functional Analysis
13 Positivity
13 Journal of Inequalities and Applications
11 Journal of Statistical Physics
10 Proceedings of the American Mathematical Society
10 International Journal of Mathematics
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Advances in Mathematics
5 Integral Equations and Operator Theory
5 Quantum Information Processing
4 Reviews in Mathematical Physics
4 Transactions of the American Mathematical Society
4 Proceedings of the National Academy of Sciences of the United States of America
3 Communications in Mathematical Physics
3 Mathematische Annalen
3 Abstract and Applied Analysis
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Annales Henri Poincaré
3 Complex Analysis and Operator Theory
2 Glasgow Mathematical Journal
2 Siberian Mathematical Journal
2 Journal of Complexity
2 Aequationes Mathematicae
2 Russian Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Mathematical Inequalities & Applications
2 Foundations of Computational Mathematics
2 Annals of Functional Analysis
2 Problemy Analiza. Issues of Analysis
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Economic Theory
1 Journal of Mathematical Economics
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Theory and Decision
1 Tohoku Mathematical Journal. Second Series
1 Systems & Control Letters
1 Statistics & Probability Letters
1 Acta Mathematica Hungarica
1 Journal of Theoretical Probability
1 Forum Mathematicum
1 Sugaku Expositions
1 Journal of Global Optimization
1 Mathematical Programming. Series A. Series B
1 Indagationes Mathematicae. New Series
1 New Zealand Journal of Mathematics
1 Computational and Applied Mathematics
1 Georgian Mathematical Journal
1 Bernoulli
1 Mathematical Communications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 Annals of Mathematics. Second Series
1 Communications of the Korean Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Entropy
1 Computational Methods and Function Theory
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Thai Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Fixed Point Theory and Applications
1 African Diaspora Journal of Mathematics
1 The Australian Journal of Mathematical Analysis and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Operators and Matrices
1 Banach Journal of Mathematical Analysis
1 Asian-European Journal of Mathematics
1 Journal of Nonlinear Science and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Analysis and Mathematical Physics
1 Bulletin of Mathematical Sciences
1 Axioms
1 Chamchuri Journal of Mathematics
...and 7 more Serials
all top 5

Cited in 40 Fields

220 Operator theory (47-XX)
99 Linear and multilinear algebra; matrix theory (15-XX)
89 Functional analysis (46-XX)
79 Quantum theory (81-XX)
60 Real functions (26-XX)
54 Information and communication theory, circuits (94-XX)
14 Probability theory and stochastic processes (60-XX)
12 Statistical mechanics, structure of matter (82-XX)
8 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Convex and discrete geometry (52-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Combinatorics (05-XX)
5 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Differential geometry (53-XX)
4 Partial differential equations (35-XX)
4 Computer science (68-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Integral transforms, operational calculus (44-XX)
3 Numerical analysis (65-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

Citations by Year