Compact $AC(\sigma )$ operators

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.

Cited by in corpus (1)

• Isomorphisms of $AC(\sigma )$ spaces for linear graphs