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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.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 17, 2016
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