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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Compact homomorphisms of URM algebras
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by F. Behrouzi and H. Mahyar PDF
Proc. Amer. Math. Soc. 133 (2005), 1205-1212 Request permission

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 $X$.
References
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Additional Information
  • F. Behrouzi
  • Affiliation: Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran 15618, Iran
  • Email: behrouzif@yahoo.com
  • H. Mahyar
  • Affiliation: Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran 15618, Iran
  • Email: mahyar@saba.tmu.ac.ir
  • Received by editor(s): February 2, 2003
  • Received by editor(s) in revised form: December 18, 2003
  • Published electronically: October 18, 2004
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1205-1212
  • MSC (2000): Primary 46J10; Secondary 46J15
  • DOI: https://doi.org/10.1090/S0002-9939-04-07592-6
  • MathSciNet review: 2117223