Quasicompact and Riesz endomorphisms of Banach algebras |
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Authors: | Joel F Feinstein Herbert Kamowitz |
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Institution: | a School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK b Department of Mathematics, University of Massachusetts at Boston, 100 Morrissey Boulevard, Boston, MA 02125-3393, USA |
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Abstract: | Let B be a unital commutative semi-simple Banach algebra. We study endomorphisms of B which are also quasicompact operators or Riesz operators. Clearly compact and power compact endomorphisms are Riesz and hence quasicompact. Several general theorems about quasicompact endomorphisms are proved, and these results are then applied to the question of when quasicompact or Riesz endomorphisms of certain algebras are necessarily power compact. |
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Keywords: | 46J15 47B48 |
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