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arXiv · 0807.1052

Compact $AC(\sigma)$ operators

Brenden Ashton·Ian Doust
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Abstract

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.

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Brenden Ashton, Ian Doust. 2008-07-07. Compact $AC(\sigma)$ operators. https://doi.org/10.1007/s00020-009-1667-0

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