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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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The lifting of the UKK property from $E$ to $C_ E$
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by Yu-Ping Hsu
Proc. Amer. Math. Soc. 123 (1995), 2695-2703
DOI: https://doi.org/10.1090/S0002-9939-1995-1246527-2

Abstract:

In this paper we show that ${C_E}$, the unitary matrix space associated with the symmetrically normed sequence space E, has the UKK property for the weak operator topology if E has the UKK property for the pointwise convergence topology. We also prove that the quasi-normed space ${C_p} = {C_{{l_p}}}$, for $0 < p < 1$, has the UKK property for the weak operator topology.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2695-2703
  • MSC: Primary 46B45; Secondary 47D25
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1246527-2
  • MathSciNet review: 1246527