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Compact homomorphisms between uniform Fréchet algebras

Compact homomorphisms between uniform Fréchet algebras We study compact homomorphisms between uniform Fréchet algebras, by analyzing the behavior of its spectral adjoint on the underlying spectrum. We prove that every compact homomorphism between uniform Fréchet algebras actually ranges into a uniform Banach algebra, and that its spectral adjointmaps τ-bounded subsets into relatively τ-compact subsets, when τ is the strong or the compact-open topology. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Compact homomorphisms between uniform Fréchet algebras

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-016-0192-4
Publisher site
See Article on Publisher Site

Abstract

We study compact homomorphisms between uniform Fréchet algebras, by analyzing the behavior of its spectral adjoint on the underlying spectrum. We prove that every compact homomorphism between uniform Fréchet algebras actually ranges into a uniform Banach algebra, and that its spectral adjointmaps τ-bounded subsets into relatively τ-compact subsets, when τ is the strong or the compact-open topology.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Feb 17, 2016

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