Compact endomorphisms of Banach algebras of infinitely differentiable functions

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

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Functional Analysis, Operator Algebras, 46J15;47B48

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http://salesiana.dossiersoluciones.com/handle/123456789/63962

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205020
 http://arxiv.org/abs/math/0205020

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arXiv