On numerical radius and Crawford number attainment sets of a bounded linear operator
Functional Analysis
2020-01-28 v1
Abstract
We completely characterize the Crawford number attainment set and the numerical radius attainment set of a bounded linear operator on a Hilbert space. We study the intersection properties of the corresponding attainment sets of numerical radius, Crawford number, norm, minimum norm of a bounded linear operator defined on a normed space. Our study illustrates the similarities and the differences of the extremal properties of a bounded linear operator on a Hilbert space and a general normed space.
Keywords
Cite
@article{arxiv.2001.09720,
title = {On numerical radius and Crawford number attainment sets of a bounded linear operator},
author = {Debmalya Sain and Arpita Mal and Pintu Bhunia and Kallol Paul},
journal= {arXiv preprint arXiv:2001.09720},
year = {2020}
}
Comments
13 pages