Translatable radii of an operator in the direction of another operator II

Fuente: arXiv
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1. Verfasser: Paul, Kallol
Format: Preprint
Veröffentlicht: 2010
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_version_ 1866916337656266752
author Paul, Kallol
author_facet Paul, Kallol
contents 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 = λA 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.
format Preprint
id arxiv_https___arxiv_org_abs_1007_5234
institution arXiv
publishDate 2010
record_format arxiv
spellingShingle Translatable radii of an operator in the direction of another operator II
Paul, Kallol
Functional Analysis
47B44, 47A63
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 = λA 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.
title Translatable radii of an operator in the direction of another operator II
topic Functional Analysis
47B44, 47A63
url https://arxiv.org/abs/1007.5234