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ON A FUNCTION MODULE WITH APPROXIMATE HYPERPLANE SERIES PROPERTY
Part of
- Linear function spaces and their duals
- Basic linear algebra
T. GRANDO, M. L. LOURENÇO
Journal:

Journal of the Australian Mathematical Society / Volume 108 / Issue 3 / June 2020

Published online by Cambridge University Press:

03 July 2019, pp. 341-348

Print publication:

June 2020
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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.