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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Locally compact groups which have the weakly compact homomorphism property
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by Volker Runde
Proc. Amer. Math. Soc. 123 (1995), 3363-3364
DOI: https://doi.org/10.1090/S0002-9939-1995-1273521-8

Abstract:

A locally compact group G is WCHP if every weakly compact homomorphism from ${L^1}(G)$ into a Banach algebra has finite-dimensional range, and is ${\text {WCHP}^ + }$ if every extension of G by an abelian group is WCHP. We verify the ${\text {WCHP}^ + }$ property for certain locally compact groups, including all Moore groups and all connected groups.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3363-3364
  • MSC: Primary 22D05; Secondary 22D15, 22D20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1273521-8
  • MathSciNet review: 1273521