Growth conditions and inverse producing extensions
Functional Analysis
2018-06-05 v1 Operator Algebras
Abstract
We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the solutions of two open problems are obtained. In the first one we give a characterization of E(T)-subscalar operators in terms of growth conditions. In the second one we show that operators satisfying a Beurling-type growth condition possess Bishop's property beta. Other applications are also given.
Cite
@article{arxiv.math/0512321,
title = {Growth conditions and inverse producing extensions},
author = {Catalin Badea and Vladimir Müller},
journal= {arXiv preprint arXiv:math/0512321},
year = {2018}
}
Comments
22 pages