Representation of tripotents and representations via tripotents

dc.contributor.author	Bikchentaev A.
dc.contributor.author	Yakushev R.
dc.date.accessioned	2018-09-18T20:05:46Z
dc.date.available	2018-09-18T20:05:46Z
dc.date.issued	2011
dc.identifier.issn	0024-3795
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136455
dc.description.abstract	Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A and B are tripotents, then: Under what conditions are A+B and AB tripotent? Under what conditions do A and B commute? We extend the partial order from the Hilbert space idempotents to the set of all tripotents and show that every normal tripotent is self-adjoint. For A=Mn(C) we describe the set of all finite sums of tripotents, the convex hull of tripotents and the set of all tripotents averages. We also give the new proof of rational trace matrix representations by Choi and Wu [2]. © 2011 Elsevier Inc. All rights reserved.
dc.relation.ispartofseries	Linear Algebra and Its Applications
dc.subject	Algebra
dc.subject	Commutativity
dc.subject	Idempotent
dc.subject	Matrix
dc.subject	Trace
dc.subject	Tripotent
dc.title	Representation of tripotents and representations via tripotents
dc.type	Article
dc.relation.ispartofseries-issue	9
dc.relation.ispartofseries-volume	435
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2156
dc.source.id	SCOPUS00243795-2011-435-9-SID79958863374

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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.