Invariant Subspaces of Operators on a Hilbert Space

dc.contributor.author	Bikchentaev A.M.
dc.date.accessioned	2021-02-25T20:51:42Z
dc.date.available	2021-02-25T20:51:42Z
dc.date.issued	2020
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162540
dc.description.abstract	© 2020, PleiadesT Publishing,T Ltd. 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.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	C*-algebra
dc.subject	commutativity
dc.subject	Hilbert space
dc.subject	invariant subspace
dc.subject	linear operator
dc.subject	operator inequality
dc.subject	partial isometry
dc.subject	projection
dc.subject	trace
dc.title	Invariant Subspaces of Operators on a Hilbert Space
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	613
dc.source.id	SCOPUS19950802-2020-41-4-SID85088638248

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.