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Representation of tripotents and representations via tripotents

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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.

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