Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495915 | Journal of Functional Analysis | 2005 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Joel F. Feinstein, Herbert Kamowitz,