Generalized inverses and the maximal radius of regularity of a Fredholm operator
funct-an
2008-02-03 v1 Functional Analysis
Abstract
Operators possessing analytic generalized inverses satisfying the resolvent identity are studied. Several characterizations and necessary conditions are obtained. The maximal radius of regularity for a Fredholm operator T is computed in terms of the spectral radius of a generalized inverse of T. This provides a partial answer to a conjecture of J. Zem\'anek.
Keywords
Cite
@article{arxiv.funct-an/9612007,
title = {Generalized inverses and the maximal radius of regularity of a Fredholm operator},
author = {Catalin Badea and Mostafa Mbekhta},
journal= {arXiv preprint arXiv:funct-an/9612007},
year = {2008}
}
Comments
LaTeX, 14 pages, to appear in Integral Equations and Operator Theory