Compactness in the space of p-continuous vector-valued functions
Studia Mathematica
Doi 10.4064/sm180203-12-11
Volumen 249
páginas 303 - 318
2019-01-01
Citas: 0
© Instytut Matematyczny PAN, 2019Let X be a Banach space and let ? be a compact Hausdorff space. We prove a characterization of compact sets in the spaces Cp(?, X) of p-continuous functions on ?, 1 ? p ? ?, with C(?, X) = C?(?, X). We also establish a necessary condition and a sufficient condition for a set in Cp(?, X) to be p-compact.
Banach spaces, Compactness, Continuous and p-continuous vector-valued functions, P-compactness
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