Form of presentation | Articles in international journals and collections |
Year of publication | 2019 |
Язык | английский |
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Bikchentaev Ayrat Midkhatovich, author
|
|
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
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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 | |
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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 |
|