Compact endomorphisms of Banach algebras of infinitely differentiable functions

Details Compact endomorphisms of Banach algebras of infinitely differentiable functions Compact endomorphisms of Banach algebras of infinitely differentiable functions

2002-05-02

arxiv.org/abs/math/0205020v2

Mathematics

Functional Analysis

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

Scientific paper

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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