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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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 weighted endomorphisms of $C(X)$
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by Herbert Kamowitz PDF
Proc. Amer. Math. Soc. 83 (1981), 517-521 Request permission

Abstract:

A weighted endomorphism of an algebra is an endomorphism followed by a multiplier. In this note we characterize compact weighted endomorphisms of the Banach algebra $C(X)$, and also determine their spectra.
References
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  • Herbert Kamowitz, The spectra of a class of operators on the disc algebra, Indiana Univ. Math. J. 27 (1978), no. 4, 581–610. MR 482354, DOI 10.1512/iumj.1978.27.27039
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 517-521
  • MSC: Primary 47B38; Secondary 46J10
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0627682-1
  • MathSciNet review: 627682