KFU. Card publication. Invariant Subspaces of Operators on a Hilbert Space

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FEDERAL UNIVERSITY

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INVARIANT SUBSPACES OF OPERATORS ON A HILBERT SPACE

Form of presentation

Articles in international journals and collections

Year of publication

2020

Язык

английский

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Bibliographic description in the original language

A. M. Bikchentaev, Invariant Subspaces of Operators on a Hilbert Space // Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 4, pp. 610--613

Annotation

In year 2006 the author proposed an approach to the invariant subspace problem for an operator on a Hilbert space, based on projection-convex combinations in C∗-algebras with the unitary factorization property. In this paper, we present an operator inequality characterizing the invariant subspace of such an operator. Eight corollaries are obtained. For an operator C*-algebra A with a faithful trace, we give a sufficient condition of commutation for a partial isometry from A with a projection onto its invariant subspace.

Keywords

Hilbert space, linear operator, invariant subspace, operator inequality, commutativity, projection, partial isometry, C*-algebra, trace

The name of the journal

Lobachevskii Journal of Mathematics

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

https://repository.kpfu.ru/eng/?p_id=226712&p_lang=2

Resource files

File name	Size (MB)	Format
LobJMat2004005BikchentaevKOR.pdf	0,10	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	A. M. Bikchentaev, Invariant Subspaces of Operators on a Hilbert Space // Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 4, pp. 610--613	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=226712&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	In year 2006 the author proposed an approach to the invariant subspace problem for an operator on a Hilbert space, based on projection-convex combinations in C∗-algebras with the unitary factorization property. In this paper, we present an operator inequality characterizing the invariant subspace of such an operator. Eight corollaries are obtained. For an operator C*-algebra A with a faithful trace, we give a sufficient condition of commutation for a partial isometry from A with a projection onto its invariant subspace.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	linear operator	ru_RU
dc.subject	invariant subspace	ru_RU
dc.subject	operator inequality	ru_RU
dc.subject	commutativity	ru_RU
dc.subject	projection	ru_RU
dc.subject	partial isometry	ru_RU
dc.subject	C*-algebra	ru_RU
dc.subject	trace	ru_RU
dc.title	Invariant Subspaces of Operators on a Hilbert Space	ru_RU
dc.type	Articles in international journals and collections	ru_RU