КФУ. Карточка публикации. Matrix inequalities and characterization of operator monotone functions

КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ

RUS

- EN
- 中文
- ES

MATRIX INEQUALITIES AND CHARACTERIZATION OF OPERATOR MONOTONE FUNCTIONS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2022

Язык

английский

Авторы, сотрудники КФУ

Тихонов Олег Евгеньевич, автор

Другие авторы

Dinh Trung Hoa , автор

Osaka Hiroyuki , автор

Библиографическое описание на языке оригинала

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

Аннотация

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.

Ключевые слова

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

Название журнала

Trends in Mathematics

URL

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

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку

https://repository.kpfu.ru/?p_id=269091

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Тихонов Олег Евгеньевич	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/?p_id=269091	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	Статьи в зарубежных журналах и сборниках	ru_RU