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ON A FUNCTION MODULE WITH APPROXIMATE HYPERPLANE SERIES PROPERTY
Published online by Cambridge University Press: 03 July 2019
Abstract
We present a sufficient and necessary condition for a function module space $X$ to have the approximate hyperplane series property (AHSP). As a consequence, we have that the space ${\mathcal{C}}_{0}(L,E)$ of bounded and continuous $E$-valued mappings defined on the locally compact Hausdorff space $L$ has AHSP if and only if $E$ has AHSP.
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- Research Article
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- © 2019 Australian Mathematical Publishing Association Inc.
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