KFU. Card publication. Trace and commutators of measurable operators affiliated to a von Neumann algebra

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

TRACE AND COMMUTATORS OF MEASURABLE OPERATORS AFFILIATED TO A VON NEUMANN ALGEBRA

Form of presentation

Articles in international journals and collections

Year of publication

2021

��

��

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Bibliographic description in the original language

A.M. Bikchentaev, Trace and commutators of measurable operators affiliated to a von Neumann algebra // Journal of Mathematical Sciences, Vol. 252, No. 1, January, 2021, p. 8--19.

Annotation

We present new properties of the space $L_1 (M,\tau)$ of integrable (with respect to the trace $\tau$) operators affiliated to a semifinite von Neumann algebra $M$. We also present estimates of the trace of the autocommutator $[A^* , A]$.

Keywords

Hilbert space, linear operator, von Neumann algebra, normal semiﬁnite trace, measurable operator, integrable operator, commutator, autocommutator

The name of the journal

Journal of Mathematical Sciences

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/159731/Bikchentaev_2020_Journal_of_Mathematical_Sciences.pdf?sequence=1&isAllowed=y

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

https://repository.kpfu.ru/eng/?p_id=241823&p_lang=2

Resource files

File name	Size (MB)	Format
Bikchentaev_2020_Journal_of_Mathematical_Sciences.pdf	0,30	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	A.M. Bikchentaev, Trace and commutators of measurable operators affiliated to a von Neumann algebra // Journal of Mathematical Sciences, Vol. 252, No. 1, January, 2021, p. 8--19.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=241823&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences	ru_RU
dc.description.abstract	We present new properties of the space $L_1 (M,\tau)$ of integrable (with respect to the trace $\tau$) operators affiliated to a semifinite von Neumann algebra $M$. We also present estimates of the trace of the autocommutator $[A^* , A]$.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	linear operator	ru_RU
dc.subject	von Neumann algebra	ru_RU
dc.subject	normal semiﬁnite trace	ru_RU
dc.subject	measurable operator	ru_RU
dc.subject	integrable operator	ru_RU
dc.subject	commutator	ru_RU
dc.subject	autocommutator	ru_RU
dc.title	Trace and commutators of measurable operators affiliated to a von Neumann algebra	ru_RU
dc.type	Articles in international journals and collections	ru_RU