Original Articles

Ruston elements and fredholm theory relative to arbitrary homomorphisms

Published in: Quaestiones Mathematicae
Volume 34 , issue 3 , 2011 , pages: 341–359

DOI: 10.2989/16073606.2011.622893

Author(s): H. du T. Mouton Department of Electrical and Electronic Engineering, South Africa , S. Mouton Department of Mathematical Sciences, South Africa , H. Raubenheimer Department of Mathematics, South Africa

Keywords: 46H05 , 46H05

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Abstract

We extend some of the Fredholm theory by, among other things, developing the theory of Ruston and almost Ruston elements and spectra relative to an arbitrary homomorphism. In addition, we provide a number of applications and generalise certain well-known results.

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