KFU. Card publication. Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras

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REARRANGEMENTS OF TRIPOTENTS AND DIFFERENCES OF ISOMETRIES IN SEMIFINITE VON NEUMANN ALGEBRAS

Form of presentation

Articles in international journals and collections

Year of publication

2019

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Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Bibliographic description in the original language

Bikchentaev A.M. Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras / A.M. Bikchentaev // Lobachevskii Journal of Mathematics. - 2019. - Vol. 40, No. 10. - P. 1450–1454.

Annotation

Let τ be a faithful normal semifinite trace on a von Neumann algebraM, and M^u be a unitary part of M. We prove a new property of rearrangements of some tripotents in M. If V ∈M is an isometry (or a coisometry) and U − V is τ-compact for some U ∈M^u then V ∈M^u. Let M be a factor with a faithful normal trace τ on it. If V ∈M^{is} an isometry (or a coisometry) and U − V is compact relative toMfor some U ∈M^u then V ∈M^u. We also obtain some corollaries.

Keywords

Hilbert space, linear operator, isometry, unitary operator, idempotent, tripotent, projection, compact operator, von Neumann algebra, trace, rearrangement

The name of the journal

Lobachevskii Journal of Mathematics

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/151916/LOJM1450.pdf?sequence=1&isAllowed=y

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

https://repository.kpfu.ru/eng/?p_id=210041&p_lang=2

Resource files

File name	Size (MB)	Format
LOJM1450.pdf	0,47	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	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	Bikchentaev A.M. Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras / A.M. Bikchentaev // Lobachevskii Journal of Mathematics. - 2019. - Vol. 40, No. 10. - P. 1450–1454.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=210041&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	Let τ be a faithful normal semifinite trace on a von Neumann algebraM, and M^u be a unitary part of M. We prove a new property of rearrangements of some tripotents in M. If V ∈M is an isometry (or a coisometry) and U − V is τ-compact for some U ∈M^u then V ∈M^u. Let M be a factor with a faithful normal trace τ on it. If V ∈M^{is} an isometry (or a coisometry) and U − V is compact relative toMfor some U ∈M^u then V ∈M^u. We also obtain some corollaries.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	linear operator	ru_RU
dc.subject	isometry	ru_RU
dc.subject	unitary operator	ru_RU
dc.subject	idempotent	ru_RU
dc.subject	tripotent	ru_RU
dc.subject	projection	ru_RU
dc.subject	compact operator	ru_RU
dc.subject	von Neumann algebra	ru_RU
dc.subject	trace	ru_RU
dc.subject	rearrangement	ru_RU
dc.title	Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras	ru_RU
dc.type	Articles in international journals and collections	ru_RU