KFU. Card publication. Matrix inequalities and characterization of operator monotone functions

KAZAN
FEDERAL UNIVERSITY

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- ES

MATRIX INEQUALITIES AND CHARACTERIZATION OF OPERATOR MONOTONE FUNCTIONS

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Tikhonov Oleg Evgenevich, author

Other authors

Dinh Trung Hoa , author

Osaka Hiroyuki , author

Bibliographic description in the original language

Dinh T.H. Matrix inequalities and characterization of operator monotone functions / Trung Hoa Dinh, Hiroyuki Osaka, and Oleg E. Tikhonov // Operator and Norm Inequalities and Related Topics, Trends in Mathematics. - Cham, Switzerland: Birkhäuser, 2022

Annotation

We give a series of new characterizations of operator monotone functions using matrix inequalities involving different Kubo-Ando matrix means. We also use a trace monotonicity inequality and the Powers-Størmer inequality to characterize operator monotone functions.

Keywords

operator monotone function, Kubo-Ando matrix mean, Powers-Stormer?s inequality, matrix Heinz mean, matrix Heron mean, matrix geometric mean, matrix power mean, matrix inequality

The name of the journal

Trends in Mathematics

URL

https://doi.org/10.1007/978-3-031-02104-6_4

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=269091&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tikhonov Oleg Evgenevich	ru_RU
dc.contributor.author	Dinh Trung Hoa	ru_RU
dc.contributor.author	Osaka Hiroyuki	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Dinh T.H. Matrix inequalities and characterization of operator monotone functions / Trung Hoa Dinh, Hiroyuki Osaka, and Oleg E. Tikhonov // Operator and Norm Inequalities and Related Topics, Trends in Mathematics. - Cham, Switzerland: Birkhäuser, 2022	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=269091&p_lang=2	ru_RU
dc.description.abstract	Trends in Mathematics	ru_RU
dc.description.abstract	We give a series of new characterizations of operator monotone functions using matrix inequalities involving different Kubo-Ando matrix means. We also use a trace monotonicity inequality and the Powers-Størmer inequality to characterize operator monotone functions.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	operator monotone function	ru_RU
dc.subject	Kubo-Ando matrix mean	ru_RU
dc.subject	Powers-Stormer?s inequality	ru_RU
dc.subject	matrix Heinz mean	ru_RU
dc.subject	matrix Heron mean	ru_RU
dc.subject	matrix geometric mean	ru_RU
dc.subject	matrix power mean	ru_RU
dc.subject	matrix inequality	ru_RU
dc.title	Matrix inequalities and characterization of operator monotone functions	ru_RU
dc.type	Articles in international journals and collections	ru_RU