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Compact AC(σ) operators

Integral Equations and Operator Theory, 63 (2009). 459-472

Brenden Ashton and Ian Doust

Address: School of Mathematics, University of New South Wales, Sydney NSW 2052, Australia

Email:  i.doust@unsw.edu.au

Abstract: All compact AC(σ) operators have a representation analogous to that for compact normal operators. As a partial converse we obtain conditions which allow one to construct a large number of such operators. Using the results in the paper, we answer a number of questions about the decomposition of a compact AC(σ) operator into real and imaginary parts.

Note: The final version of the paper may differ from the manuscript below. This paper is also available on the arXiv.

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