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A Banach space characterization of (sequentially) Ascoli spaces (2307.11561v1)
Published 21 Jul 2023 in math.FA and math.GN
Abstract: We prove that a Tychonoff space $X$ is an Ascoli space (resp., a sequentially Ascoli space) if and only if for each Banach space $E$, every $k$-continuous and almost $k$-compact (resp., almost $k$-sequential) map $T$ form $X$ into the Banach dual $E'$ of $E$ is continuous.
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