Compact endomorphisms of Banach algebras of infinitely differentiable functions

2002/05/02 by J. F. Feinstein, Feinstein, J. F., Herbert Kamowitz +2
Mathematics · #Advanced Banach Space Theory #Functional Equations Stability Results #Mathematical and Theoretical Analysis #math.FA #math.OA #msc:46J15 #msc:47B48

paper · pdf · doi:10.48550/arxiv.math/0205020

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

arxiv created 2003/10/12 · arxiv updated 2009/11/30

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.

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