Compact $AC(σ)$ operators

Details Compact $AC(σ)$ operators Compact $AC(σ)$ operators

2008-07-07

arxiv.org/abs/0807.1052v1

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

Mathematics

Functional Analysis

Scientific paper

10.1007/s00020-009-1667-0

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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