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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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Strict topology and $P$-spaces
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by Surjit Singh Khurana and Seki Alexander Choo PDF
Proc. Amer. Math. Soc. 61 (1976), 280-284 Request permission

Abstract:

For a completely regular Hausdorff space $X$ and a normed space $E$, let ${C_b}(X, E)$ be the space of all bounded continuous functions from $X$ into $E$ with strict topology ${\beta _0}$. It is proved that if $X$ is a $P$-space, $({C_b}(X,E),{\beta _0})$ is Mackey; if, in addition, $E$ is complete, then $({C_b}(X,E),{\beta _0})$ is strongly Mackey.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 61 (1976), 280-284
  • MSC: Primary 46E40
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0425603-6
  • MathSciNet review: 0425603