Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Compact weighted endomorphisms of $C(X)$
HTML articles powered by AMS MathViewer

by Herbert Kamowitz PDF
Proc. Amer. Math. Soc. 83 (1981), 517-521 Request permission


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.
    W. Arendt, Über das Spektrum regulären Operatoren, Dissertation, Universität zu Tübingen, 1979. —, Spectral properties of Lamperti operators, preprint. N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
  • 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
  • Herbert Kamowitz, Compact operators of the form $uC_{\varphi }$, Pacific J. Math. 80 (1979), no. 1, 205–211. MR 534709
  • A. K. Kitover, The spectrum of automorphisms with weight, and the Kamowitz-Scheinberg theorem, Funktsional. Anal. i Prilozhen. 13 (1979), no. 1, 70–71 (Russian). MR 527528
  • A. K. Kitover, Spectral properties of automorphisms with weight in uniform algebras, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 92 (1979), 288–293, 326 (Russian, with English summary). Investigations on linear operators and the theory of functions, IX. MR 566761
  • Helmut H. Schaefer, Manfred Wolff, and Wolfgang Arendt, On lattice isomorphisms with positive real spectrum and groups of positive operators, Math. Z. 164 (1978), no. 2, 115–123. MR 517148, DOI 10.1007/BF01174818
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B38, 46J10
  • Retrieve articles in all journals with MSC: 47B38, 46J10
Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 517-521
  • MSC: Primary 47B38; Secondary 46J10
  • DOI:
  • MathSciNet review: 627682