English

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 Tf=λAf Tf = \lambda A f 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}
}