On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors

We consider algebras generated by idempotents in Banach spaces and orthoprojectors in Hilbert spaces whose sum is a multiple of the identity. We construct several functors generated by homomorphisms of the algebras considered between categories of representations. We investigate properties of these...

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Bibliographic Details
Date:2003
Main Authors: Popovich, S. V., Samoilenko, Yu. S., Попович, С. В., Самойленко, Ю. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3995
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal