Frechet differential of a power series in a Banach algebra
Functional Analysis
2012-02-03 v2 Operator Algebras
Abstract
We present two new forms in which the Frechet differential of a power series in a Banach algebra can be expressed in terms of absolutely convergent series involving the commutant .Then we apply the results to the analytic functional calculus in a complex Banach space.
Keywords
Cite
@article{arxiv.0804.2836,
title = {Frechet differential of a power series in a Banach algebra},
author = {Benedetto Silvestri},
journal= {arXiv preprint arXiv:0804.2836},
year = {2012}
}
Comments
24 pages