Quasicompact and Riesz endomorphisms of Banach algebras

被引：16

作者：

Feinstein, JF ^{[1
]}

Kamowitz, H

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Univ Massachusetts, Dept Math, Boston, MA 02125 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 225卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

quasicompact; Riesz; endomorphisms; Banach algebras;

D O I：

10.1016/j.jfa.2005.04.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：427 / 438

页数：12

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