Some estimates for the norm of the self-commutator
Spectral Theory
2014-05-08 v1 Functional Analysis
Abstract
Different estimates for the norm of the self-commutator of a Hilbert space operator are proposed. Particularly, this norm is bounded from above by twice of the area of the numerical range of the operator. An isoperimetric-type inequality is proved.
Keywords
Cite
@article{arxiv.1405.1690,
title = {Some estimates for the norm of the self-commutator},
author = {Gevorgyan Levon},
journal= {arXiv preprint arXiv:1405.1690},
year = {2014}
}