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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2008 Volume 42, Issue 2, Pages 85–89 (Mi faa2907)
Brief communications

Weakly Compact Homomorphisms of Regular Banach Algebras

H. S. Mustafaev

Yuzuncu Yil University

Abstract: Let $A$ be a uniformly regular Ditkin algebra. It is shown that every weakly compact homomorphism of $A$ into a Banach algebra is finite-dimensional.

Keywords: Banach algebra, group algebra, homomorphism.

UDC: 517.98

Received: 07.11.2006

DOI: 10.4213/faa2907


 English version: Functional Analysis and Its Applications, 2008, 42:2, 151–154

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