KFU. Card publication. On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ON THE SYSTEMS OF FINITE WEIGHTS ON THE ALGEBRA OF BOUNDED OPERATORS AND CORRESPONDING TRANSLATION INVARIANT MEASURES

Form of presentation

Articles in international journals and collections

Year of publication

2019

��

��

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Other authors

Sakbaev Vsevolod Zhanovich, author

Bibliographic description in the original language

A. M. Bikchentaev, OV. Zh. Sakbaev, On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures //Lobachevskii Journal of Mathematics, 2019, Vol. 40, No. 8, pp. 1039–1044

Annotation

We describe the class of translation invariant measures on the algebra B(H) of bounded linear operators on a Hilbert space H and some of its subalgebras. In order to achieve this we apply two steps. First we show that a total minimal system of finite weights on the operator algebra defines a family of rectangles in this algebra through construction of operator intervals. The second step is construction of a translation invariant measure on some subalgebras of algebra B(H) by the family of rectangles. The operator intervals in the Jordan algebra B(H)^{sa} is investigated. We also obtain some new operator inequalities.

Keywords

Hilbert space, projection, operator interval, Jordan algebra, translation invariant measure, trace, Hilbert?Schmidt operator, operator inequality, convexity

The name of the journal

Lobachevskii Journal of Mathematics

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/151737/F_LOJM1039.pdf?sequence=1&isAllowed=y

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

https://repository.kpfu.ru/eng/?p_id=206282&p_lang=2

Resource files

File name	Size (MB)	Format
F_LOJM1039.pdf	0,51	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	ru_RU
dc.contributor.author	Sakbaev Vsevolod Zhanovich	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	A. M. Bikchentaev, OV. Zh. Sakbaev, On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures //Lobachevskii Journal of Mathematics, 2019, Vol. 40, No. 8, pp. 1039–1044	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=206282&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We describe the class of translation invariant measures on the algebra B(H) of bounded linear operators on a Hilbert space H and some of its subalgebras. In order to achieve this we apply two steps. First we show that a total minimal system of finite weights on the operator algebra defines a family of rectangles in this algebra through construction of operator intervals. The second step is construction of a translation invariant measure on some subalgebras of algebra B(H) by the family of rectangles. The operator intervals in the Jordan algebra B(H)^{sa} is investigated. We also obtain some new operator inequalities.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	projection	ru_RU
dc.subject	operator interval	ru_RU
dc.subject	Jordan algebra	ru_RU
dc.subject	translation invariant measure	ru_RU
dc.subject	trace	ru_RU
dc.subject	Hilbert?Schmidt operator	ru_RU
dc.subject	operator inequality	ru_RU
dc.subject	convexity	ru_RU
dc.title	On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures	ru_RU
dc.type	Articles in international journals and collections	ru_RU