Brenden Ashton, Ian Doust
Published 2008-07-07Version 1
All compact $AC(\sigma)$ 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 $AC(\sigma)$ into real and imaginary parts.
Journal: Integral Equations Operator Theory, 63 (2009), 459-472
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