On the extremal structure of the unit balls of Banach spaces of weakly continuous functions and their duals

DOI10.1090/S0002-9947-97-01903-XzbMath0873.46008MaRDI QIDQ4336546

Mark A. Smith, Zhibao Hu

Publication date: 13 May 1997

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

zbMATH Keywords

strongly extreme pointsdenting pointspoints of continuitynorm-one functionsspaces of weakly continuous functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (5)

Relatively weakly open subsets of the unit ball in functions spaces ⋮ A generalized ACK structure and the denseness of norm attaining operators ⋮ On the work of Lech Drewnowski ⋮ The big slice phenomena in M-embedded and L-embedded spaces ⋮ Numerical index of Banach spaces of weakly or weakly-star continuous functions

Cites Work

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• Exposed and denting points in duals of operator spaces
• Extreme operator-valued continuous maps
• The isometries of \(H^ \infty{} (E)\)
• A characterization of weak\(^*\) denting points in \(L^ p(\mu ,X)^*\)
• Extreme operators into \(C(K)\)
• SOME OBSERVATIONS ABOUT THE SPACE OF WEAKLY CONTINUOUS FUNCTIONS FROM A COMPACT SPACE INTO A BANACH SPACE
• A NOTE ON WEAKLY CONTINUOUS BANACH SPACE VALUED FUNCTIONS
• Uncomplementability of the spaces of norm continuous functions in some spaces of "weakly" continuous functions
• Some geometric and topological properties of the unit ball in Banach spaces

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