Compact homomorphisms of URM algebras

Behrouzi, F.; Mahyar, H.

doi:10.1090/S0002-9939-04-07592-6

Compact homomorphisms of URM algebras
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by F. Behrouzi and H. Mahyar

Proc. Amer. Math. Soc. 133 (2005), 1205-1212

DOI: https://doi.org/10.1090/S0002-9939-04-07592-6

Published electronically: October 18, 2004

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Abstract:

We show when a homomorphism from a URM algebra into a uniform algebra or into a regular Banach algebra is weakly compact or compact. We prove that every homomorphism from URM algebras into $D^1(X)$ is compact. Finally, we characterize the spectra of compact endomorphisms of URM algebras defined on a connected compact Hausdorff space $X$.

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