Translatable radii of an operator in the direction of another operator II
Functional Analysis
2024-07-30 v1
Abstract
One of the couple of translatable radii of an operator in the direction of another operator introduced in earlier work[13] is studied in details. A necessary and sufficient condition for a unit vector f to be a stationary vector of the generalized eigenvalue problem is obtained. Finally a theorem of Williams[16] is generalized to obtain a translatable radius of an operator in the direction of another operator.
Keywords
Cite
@article{arxiv.1007.5234,
title = {Translatable radii of an operator in the direction of another operator II},
author = {Kallol Paul},
journal= {arXiv preprint arXiv:1007.5234},
year = {2024}
}