A Functional Calculus for Quotient Bounded Operators
Functional Analysis
2007-05-23 v2 Operator Algebras
Abstract
If X is a sequentially complete locally convex space, then a quotient bounded operator T is regular (in the sense of Waelbroeck) if and only if it is a bounded element (in the sense of Allan) of the algebra of quotient bounded operators on X. The classic functional calculus for the bounded operators on Banach space is generalized for such bounded operators. Also are studied some spectral propreties of the locally bounded operators.
Cite
@article{arxiv.math/0703430,
title = {A Functional Calculus for Quotient Bounded Operators},
author = {Mirel Sorin Stoian},
journal= {arXiv preprint arXiv:math/0703430},
year = {2007}
}