Compact $AC(\sigma)$ operators
Functional Analysis
2011-06-27 v1
Abstract
All compact 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 into real and imaginary parts.
Keywords
Cite
@article{arxiv.0807.1052,
title = {Compact $AC(\sigma)$ operators},
author = {Brenden Ashton and Ian Doust},
journal= {arXiv preprint arXiv:0807.1052},
year = {2011}
}