Operators that achieve the norm
Functional Analysis
2010-11-25 v2
Abstract
In this paper we study the theory of operators on complex Hilbert spaces, which achieve the norm in the unit sphere. We prove important results concerning the characterization of the AN operators, see Definition 1.2. The class of AN operators contains the algebra of the compact ones.
Cite
@article{arxiv.1007.1477,
title = {Operators that achieve the norm},
author = {Xavier Carvajal and Wladimir Neves},
journal= {arXiv preprint arXiv:1007.1477},
year = {2010}
}
Comments
17 pages