Compact endomorphisms of Banach algebras of infinitely differentiable functions
Functional Analysis
2007-05-23 v2 Operator Algebras
Abstract
We consider non-zero endomorphisms of the Dales and Davie algebras of infinitely differentiable functions on intervals in the real line. We discuss necessary and sufficient conditions for a selfmap of the interval to induce a compact endomorphism of these algebras. We also determine the spectra of these compact endomorphisms.
Keywords
Cite
@article{arxiv.math/0205020,
title = {Compact endomorphisms of Banach algebras of infinitely differentiable functions},
author = {J. F. Feinstein and H. Kamowitz},
journal= {arXiv preprint arXiv:math/0205020},
year = {2007}
}
Comments
Improved version, to appear in Journal of the LMS. 16 pages LaTeX