Original Articles

FREDHOLM THEORY RELATIVE TO TWO BANACH ALGEBRA HOMOMORPHISMS

Published in: Quaestiones Mathematicae
Volume 14 , issue 4 , 1991 , pages: 371–382

DOI: 10.1080/16073606.1991.9631656

Author(s): T. Mouton Department of Mathematics, South Africa , H. Raubenheimer Department of Mathematics, South Africa

Keywords: 46H05 , 46H10

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Abstract

If T: A → B is a homomorphism of Band algebras, we study the relationship between invertible elements in A and B relative to T. To facilitate our investigation, we firstly associate Fredholm, almost Ruston, Ruston, Weyl and Browder elements with T, and secondly we consider another homomorphism S: A → D of Banach algebras which is related to T in a natural way.

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