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On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors

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Abstract

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 functors and present their applications.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. V. Popovich & Yu. S. Samoilenko

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  1. S. V. Popovich
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  2. Yu. S. Samoilenko
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Popovich, S.V., Samoilenko, Y.S. On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors. Ukrainian Mathematical Journal 55, 1480–1496 (2003). https://doi.org/10.1023/B:UKMA.0000018009.98649.e7

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  • DOI: https://doi.org/10.1023/B:UKMA.0000018009.98649.e7

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