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An example of $ l\sb p$-equivalent spaces which are not $ l\sp *\sb p$-equivalent

Authors: Jan Baars, Joost de Groot, Jan van Mill and Jan Pelant
Journal: Proc. Amer. Math. Soc. 119 (1993), 963-969
MSC: Primary 57N17; Secondary 46E25, 54C35
MathSciNet review: 1184080
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Abstract: We give an example of two locally compact countable metric spaces $ X$ and $ Y$ which are $ {l_p}$-equivalent but not $ l_p^{\ast}$-equivalent, i.e., $ {C_p}(X)$ and $ {C_p}(Y)$ are linearly homeomorphic but $ C_p^{\ast}(X)$ and $ C_p^{\ast}(Y)$ are not linearly homeomorphic.

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Keywords: Function spaces, $ {l_p}$-equivalence, $ l_p^{\ast}$-equivalence
Article copyright: © Copyright 1993 American Mathematical Society