KFU. Card publication. On $\tau$-essentially Invertibility of $\tau$-measurable Operators

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ON $\TAU$-ESSENTIALLY INVERTIBILITY OF $\TAU$-MEASURABLE OPERATORS

Form of presentation

Articles in international journals and collections

Year of publication

2021

Язык

английский

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Bibliographic description in the original language

Airat M. Bikchentaev, On $\tau$-essentially Invertibility of $\tau$-measurable Operators // International Journal of Theoretical Physics. 2021. V.60, no 2, P. 567--575.

Annotation

We present a sufficient condition that a τ -measurable operator A not be τ -essentially left invertible. For τ -measurable operators A and P = P^2 the following conditions are equivalent: 1. A is τ -essential right inverse for P; 2. A is τ -essential left inverse for P; 3. I − A,I − P are τ -compact; 4. PA is τ -essential left inverse for P.

Keywords

Hilbert space, ? Von Neumann algebra, ? Normal weight, ? Semifinite trace, ? Measure topology, ? τ -measurable operator,? τ -compact operator, ? Rearrangement , τ -essentially invertible operator, ? Idempotent

The name of the journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

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

https://repository.kpfu.ru/eng/?p_id=254081&p_lang=2

Resource files

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Bikchentaev2021_Article_On__932__essentiallyInvertibilityOf.pdf	0,37	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	Airat M. Bikchentaev, On $\tau$-essentially Invertibility of $\tau$-measurable Operators // International Journal of Theoretical Physics. 2021. V.60, no 2, P. 567--575.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=254081&p_lang=2	ru_RU
dc.description.abstract	INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS	ru_RU
dc.description.abstract	We present a sufficient condition that a τ -measurable operator A not be τ -essentially left invertible. For τ -measurable operators A and P = P^2 the following conditions are equivalent: 1. A is τ -essential right inverse for P; 2. A is τ -essential left inverse for P; 3. I − A,I − P are τ -compact; 4. PA is τ -essential left inverse for P.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	? Von Neumann algebra	ru_RU
dc.subject	? Normal weight	ru_RU
dc.subject	? Semifinite trace	ru_RU
dc.subject	? Measure topology	ru_RU
dc.subject	? τ -measurable operator	ru_RU
dc.subject	? τ -compact operator	ru_RU
dc.subject	? Rearrangement	ru_RU
dc.subject	τ -essentially invertible operator	ru_RU
dc.subject	? Idempotent	ru_RU
dc.title	On $\tau$-essentially Invertibility of $\tau$-measurable Operators	ru_RU
dc.type	Articles in international journals and collections	ru_RU