There are no denting points in the unit ball of 𝑊𝐶(𝐾,𝑋)

DOI10.1090/S0002-9939-99-04941-2zbMath0932.46013OpenAlexW2764787442MaRDI QIDQ4257620

T. S. S. R. K. Rao

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04941-2

zbMATH Keywords

extreme pointdenting pointvector valued continuous functionsweak topology equipped with the supremum norm

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (7)

Relatively weakly open subsets of the unit ball in functions spaces ⋮ Slices in the unit ball of the symmetric tensor product of \(\mathcal{C}(K)\) and \(L_{1}(\mu )\) ⋮ There are no denting points in the unit ball of 𝒫(²H) ⋮ Very smooth points of spaces of operators ⋮ The big slice phenomena in M-embedded and L-embedded spaces ⋮ Points of weak-norm continuity in the unit ball of Banach spaces ⋮ Denting and strongly extreme points in the unit ball of spaces of operators

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