Riesz endomorphisms of Banach algebras

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Let B be a unital commutative semi-simple Banach algebra. We study endomorphisms of B which are simultaneously Riesz operators. Clearly compact and power compact endomorphisms are Riesz. Several general theorems about Riesz endomorphisms are proved, and these results are then applied to the question of when Riesz endomorphisms of certain algebras are necessarily power compact. This research was supported by EPSRC grant GR/S16515/01
13 pages LaTeX, no figures

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Functional Analysis, 46J15;47B48

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http://salesiana.dossiersoluciones.com/handle/123456789/70594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403443
 http://arxiv.org/abs/math/0403443

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arXiv