## Hansen, Frank-Peter

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 Author ID: hansen.frank-peter Published as: Hansen, Frank; Hansen, Frank-Peter; Hansen, F. more...less External Links: MGP · ORCID
 Documents Indexed: 63 Publications since 1977, including 3 Books Reviewing Activity: 9 Reviews Co-Authors: 19 Co-Authors with 20 Joint Publications 913 Co-Co-Authors
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### Co-Authors

 43 single-authored 4 Pedersen, Gert Kjærgård 3 Tomiyama, Jun 2 Cai, Liang 2 Gibilisco, Paolo 2 Pečarić, Josip 1 Araki, Huzihiro 1 Audenaert, Koenraad M. R. 1 Effros, Edward George 1 Gyntelberg, Jacob 1 Isola, Tommaso 1 Ji, Guoxing 1 Krulić Himmelreich, Kristina 1 Moslehian, Mohammad Sal 1 Najafi, Hamed 1 Olesen, Dorte 1 Perić, Ivan 1 Persson, Lars-Erik 1 Shi, Guanghua 1 Zhang, Zhihua
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### Serials

 9 Linear Algebra and its Applications 7 Journal of Statistical Physics 4 Letters in Mathematical Physics 4 Mathematische Annalen 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Annals of Functional Analysis 3 Bulletin of the London Mathematical Society 3 Mathematica Scandinavica 3 International Journal of Mathematics 3 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 The Australian Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematica Japonica 1 Journal of the Mongolian Mathematical Society 1 Mathematical Physics, Analysis and Geometry 1 Positivity 1 Mathematical Inequalities & Applications 1 RIMS Kokyuroku 1 The B. E. Journal of Theoretical Economics 1 Proceedings of the Estonian Academy of Sciences
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### Fields

 40 Operator theory (47-XX) 20 Real functions (26-XX) 13 Functional analysis (46-XX) 11 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Information and communication theory, circuits (94-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Probability theory and stochastic processes (60-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX)

### Citations contained in zbMATH Open

49 Publications have been cited 638 times in 391 Documents Cited by Year
Jensen’s inequality for operators and Loewner’s theorem. Zbl 0473.47011
Hansen, Frank; Pedersen, Gert Kjaergard
1982
Jensen’s operator inequality. Zbl 1051.47014
Hansen, Frank; Pedersen, Gert K.
2003
An operator inequality. Zbl 0407.47012
Hansen, Frank
1980
Jensen’s operator inequality and its converses. Zbl 1151.47025
Hansen, Frank; Pečarić, Josip; Perić, Ivan
2007
The fast track to Löwner’s theorem. Zbl 1284.26011
Hansen, Frank
2013
Metric adjusted skew information. Zbl 1205.94058
Hansen, Frank
2008
Non-commutative perspectives. Zbl 1308.47014
Effros, E. G.; Hansen, Frank
2014
Extensions of Lieb’s concavity theorem. Zbl 1157.47305
Hansen, Frank
2006
Operator convex functions of several variables. Zbl 0902.47013
Hansen, Frank
1997
Trace functions as Laplace transforms. Zbl 1111.47022
Hansen, Frank
2006
Gaps between classes of matrix monotone functions. Zbl 1047.26008
Hansen, Frank; Ji, Guoxing; Tomiyama, Jun
2004
Regular operator mappings and multivariate geometric means. Zbl 1308.47022
Hansen, Frank
2014
Operator monotone functions of several variables. Zbl 1035.47005
Hansen, Frank
2003
Differential analysis of matrix convex functions. Zbl 1116.26006
Hansen, Frank; Tomiyama, Jun
2007
The Wigner-Yanase entropy is not subadditive. Zbl 1111.82006
Hansen, Frank
2007
Cai, Liang; Hansen, Frank
2010
Differential analysis of matrix convex functions. II. Zbl 1167.26307
Hansen, Frank; Tomiyama, Jun
2009
Perturbation formulas for traces on $$C^*$$-algebras. Zbl 0829.46043
Hansen, Frank; Pedersen, Gert K.
1995
On a correspondence between regular and non-regular operator monotone functions. Zbl 1178.47011
Gibilisco, P.; Hansen, F.; Isola, T.
2009
Selfadjoint means and operator monotone functions. Zbl 0461.47009
Hansen, Frank
1981
Trace functions with applications in quantum physics. Zbl 1291.81072
Hansen, Frank
2014
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
2000
Jensen’s trace inequality in several variables. Zbl 1049.46037
Hansen, Frank; Pedersen, Gert K.
2003
Inequalities for quantum skew information. Zbl 1161.81317
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
2008
Means and concave products of positive semi-definite matrices. Zbl 0495.47021
Hansen, Frank
1983
Non-commutative Hardy inequalities. Zbl 1188.47017
Hansen, Frank
2009
Operator inequalities associated with Jensen’s inequalities. Zbl 1040.47012
Hansen, Frank
2000
Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. Zbl 1204.26026
Hansen, Frank; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
2010
Characterisation of matrix entropies. Zbl 1330.60017
Hansen, Frank; Zhang, Zhihua
2015
Expected utility with subjective events. Zbl 1254.91103
Gyntelberg, Jacob; Hansen, Frank
2012
Functions of matrices with nonnegative entries. Zbl 0745.15013
Hansen, Frank
1992
Jensen’s operator inequality for functions of two variables. Zbl 0870.47013
Hansen, Frank
1997
Quantum entropy derived from first principles. Zbl 1360.81036
Hansen, Frank
2016
Convexity of quantum $$\chi ^{2}$$-divergence. Zbl 1256.81023
Hansen, Frank
2011
Selfpolar norms on an indefinite inner product space. Zbl 0458.46017
Hansen, Frank
1980
Multivariate extensions of the Golden-Thompson inequality. Zbl 1337.15019
Hansen, Frank
2015
Operator maps of Jensen-type. Zbl 06979791
Hansen, Frank; Moslehian, Mohammad Sal; Najafi, Hamed
2018
Perspectives and completely positive maps. Zbl 1454.47023
Hansen, Frank
2017
Some operator monotone functions. Zbl 1156.81341
Hansen, Frank
2009
The Moyal product and spectral theory for a class of infinite dimensional matrices. Zbl 0748.46043
Hansen, Frank
1990
Extrema for concave operator mappings. Zbl 0815.47014
Hansen, Frank
1994
Perturbations of centre-fixing dynamical systems. Zbl 0374.46054
Hansen, Frank; Olesen, Dorte
1978
Golden-Thompson’s inequality for deformed exponentials. Zbl 1323.82003
Hansen, Frank
2015
Convex trace functions of several variables. Zbl 1034.47005
Hansen, Frank
2002
Variational representations related to Tsallis relative entropy. Zbl 1459.94078
Shi, Guanghua; Hansen, Frank
2020
A note on quantum entropy. Zbl 1413.81006
Hansen, Frank
2016
WYD-like skew information measures. Zbl 1272.82005
Hansen, Frank
2013
Monotone trace functions of several variables. Zbl 1093.47016
Hansen, Frank
2005
Convex multivariate operator means. Zbl 07007598
Hansen, Frank
2019
Variational representations related to Tsallis relative entropy. Zbl 1459.94078
Shi, Guanghua; Hansen, Frank
2020
Convex multivariate operator means. Zbl 07007598
Hansen, Frank
2019
Operator maps of Jensen-type. Zbl 06979791
Hansen, Frank; Moslehian, Mohammad Sal; Najafi, Hamed
2018
Perspectives and completely positive maps. Zbl 1454.47023
Hansen, Frank
2017
Quantum entropy derived from first principles. Zbl 1360.81036
Hansen, Frank
2016
A note on quantum entropy. Zbl 1413.81006
Hansen, Frank
2016
Characterisation of matrix entropies. Zbl 1330.60017
Hansen, Frank; Zhang, Zhihua
2015
Multivariate extensions of the Golden-Thompson inequality. Zbl 1337.15019
Hansen, Frank
2015
Golden-Thompson’s inequality for deformed exponentials. Zbl 1323.82003
Hansen, Frank
2015
Non-commutative perspectives. Zbl 1308.47014
Effros, E. G.; Hansen, Frank
2014
Regular operator mappings and multivariate geometric means. Zbl 1308.47022
Hansen, Frank
2014
Trace functions with applications in quantum physics. Zbl 1291.81072
Hansen, Frank
2014
The fast track to Löwner’s theorem. Zbl 1284.26011
Hansen, Frank
2013
WYD-like skew information measures. Zbl 1272.82005
Hansen, Frank
2013
Expected utility with subjective events. Zbl 1254.91103
Gyntelberg, Jacob; Hansen, Frank
2012
Convexity of quantum $$\chi ^{2}$$-divergence. Zbl 1256.81023
Hansen, Frank
2011
Cai, Liang; Hansen, Frank
2010
Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. Zbl 1204.26026
Hansen, Frank; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik
2010
Differential analysis of matrix convex functions. II. Zbl 1167.26307
Hansen, Frank; Tomiyama, Jun
2009
On a correspondence between regular and non-regular operator monotone functions. Zbl 1178.47011
Gibilisco, P.; Hansen, F.; Isola, T.
2009
Non-commutative Hardy inequalities. Zbl 1188.47017
Hansen, Frank
2009
Some operator monotone functions. Zbl 1156.81341
Hansen, Frank
2009
Metric adjusted skew information. Zbl 1205.94058
Hansen, Frank
2008
Inequalities for quantum skew information. Zbl 1161.81317
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
2008
Jensen’s operator inequality and its converses. Zbl 1151.47025
Hansen, Frank; Pečarić, Josip; Perić, Ivan
2007
Differential analysis of matrix convex functions. Zbl 1116.26006
Hansen, Frank; Tomiyama, Jun
2007
The Wigner-Yanase entropy is not subadditive. Zbl 1111.82006
Hansen, Frank
2007
Extensions of Lieb’s concavity theorem. Zbl 1157.47305
Hansen, Frank
2006
Trace functions as Laplace transforms. Zbl 1111.47022
Hansen, Frank
2006
Monotone trace functions of several variables. Zbl 1093.47016
Hansen, Frank
2005
Gaps between classes of matrix monotone functions. Zbl 1047.26008
Hansen, Frank; Ji, Guoxing; Tomiyama, Jun
2004
Jensen’s operator inequality. Zbl 1051.47014
Hansen, Frank; Pedersen, Gert K.
2003
Operator monotone functions of several variables. Zbl 1035.47005
Hansen, Frank
2003
Jensen’s trace inequality in several variables. Zbl 1049.46037
Hansen, Frank; Pedersen, Gert K.
2003
Convex trace functions of several variables. Zbl 1034.47005
Hansen, Frank
2002
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
2000
Operator inequalities associated with Jensen’s inequalities. Zbl 1040.47012
Hansen, Frank
2000
Operator convex functions of several variables. Zbl 0902.47013
Hansen, Frank
1997
Jensen’s operator inequality for functions of two variables. Zbl 0870.47013
Hansen, Frank
1997
Perturbation formulas for traces on $$C^*$$-algebras. Zbl 0829.46043
Hansen, Frank; Pedersen, Gert K.
1995
Extrema for concave operator mappings. Zbl 0815.47014
Hansen, Frank
1994
Functions of matrices with nonnegative entries. Zbl 0745.15013
Hansen, Frank
1992
The Moyal product and spectral theory for a class of infinite dimensional matrices. Zbl 0748.46043
Hansen, Frank
1990
Means and concave products of positive semi-definite matrices. Zbl 0495.47021
Hansen, Frank
1983
Jensen’s inequality for operators and Loewner’s theorem. Zbl 0473.47011
Hansen, Frank; Pedersen, Gert Kjaergard
1982
Selfadjoint means and operator monotone functions. Zbl 0461.47009
Hansen, Frank
1981
An operator inequality. Zbl 0407.47012
Hansen, Frank
1980
Selfpolar norms on an indefinite inner product space. Zbl 0458.46017
Hansen, Frank
1980
Perturbations of centre-fixing dynamical systems. Zbl 0374.46054
Hansen, Frank; Olesen, Dorte
1978
all top 5