KFU. Card publication. Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions

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INEQUALITIES FOR THE EXTENDED POSITIVE PART OF A VON NEUMANN ALGEBRA RELATED TO OPERATOR-MONOTONE AND OPERATOR-CONVEX FUNCTIONS

Form of presentation

Articles in international journals and collections

Year of publication

2019

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Authors, employees of KFU

Tikhonov Oleg Evgenevich, author

Bibliographic description in the original language

Dinh, Trung Hoa; Tikhonov, Oleg E.; Veselova, Lidia V. Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions. Ann. Funct. Anal. 10 (2019), no. 3, 425--432. doi:10.1215/20088752-2018-0040. https://projecteuclid.org/euclid.afa/1565078426

Annotation

We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this provides an opportunity to extend the inequalities onto unbounded positive self-adjoint operators.

Keywords

von Neumann algebra, extended positive part, operator monotone function, operator convex function

The name of the journal

Annals of Functional Analysis

URL

https://projecteuclid.org/euclid.afa/1565078426

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

https://repository.kpfu.ru/eng/?p_id=205992&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tikhonov Oleg Evgenevich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Dinh, Trung Hoa; Tikhonov, Oleg E.; Veselova, Lidia V. Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions. Ann. Funct. Anal. 10 (2019), no. 3, 425--432. doi:10.1215/20088752-2018-0040. https://projecteuclid.org/euclid.afa/1565078426	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=205992&p_lang=2	ru_RU
dc.description.abstract	Annals of Functional Analysis	ru_RU
dc.description.abstract	We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this provides an opportunity to extend the inequalities onto unbounded positive self-adjoint operators.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	von Neumann algebra	ru_RU
dc.subject	extended positive part	ru_RU
dc.subject	operator monotone function	ru_RU
dc.subject	operator convex function	ru_RU
dc.title	Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions	ru_RU
dc.type	Articles in international journals and collections	ru_RU