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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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Banach space properties of Ciesielski-Pol’s $C(K)$ space
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by G. Godefroy, J. Pelant, J. H. M. Whitfield and V. Zizler PDF
Proc. Amer. Math. Soc. 103 (1988), 1087-1093 Request permission

Abstract:

A $C(K)$ space ${X_0}$ which Ciesielski and Pol show does not continuously linearly inject into any ${c_0}(\Gamma )$ has an equivalent ${C^\infty }$-norm, is Lipschitz equivalent to a ${c_0}(\Gamma )$, and the density character of ${X_0}$ is equal to the ${w^*}$-density character of $X_0^*$.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 1087-1093
  • MSC: Primary 46E99; Secondary 46B20
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0954988-5
  • MathSciNet review: 954988