arXiv:math/0205020 Abstract

arXiv:math/0205020 [math.FA]Abstract References Reviews Resources

Compact endomorphisms of Banach algebras of infinitely differentiable functions

Published 2002-05-02, updated 2003-10-12Version 2

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.

Comments: Improved version, to appear in Journal of the LMS. 16 pages LaTeX

Categories: math.FA, math.OA

Subjects: 46J15, 47B48

Keywords: infinitely differentiable functions, compact endomorphism, banach algebras, davie algebras, non-zero endomorphisms

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