Riesz endomorphisms of Banach algebras

2004/03/25 by Joel F. Feinstein, Feinstein, Joel F., Herbert Kamowitz +1
Mathematics · #46J15 #47B48 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46J15 #msc:47B48

paper · pdf · doi:10.48550/arxiv.math/0403443

13 pages LaTeX, no figures

arxiv created 2004/03/25 · arxiv updated 2009/12/01

Abstract

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

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