A characterization of weak\(^*\) denting points in \(L^ p(\mu ,X)^*\)

DOI10.1216/rmjm/1181072384zbMath0824.46025OpenAlexW1996850340MaRDI QIDQ1344003

Zhibao Hu, Bor-Luh LIn

Publication date: 9 February 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072384

zbMATH Keywords

extreme pointLebesgue-Bochner function space\(p\)-average locally uniformly rotundproperty \((G^*)\)weak\(^*\) denting pointweak\(^*\) point of continuity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

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

Cites Work

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• Strongly exposed points in \(L^p(\mu,E)\)
• Banach spaces which are Asplund spaces
• RNP and CPCP in Lebesgue-Bochner function spaces
• A Note on Strong Extreme and Strongly Exposed Points in Bochner L p - Spaces
• Denting Points in Bochner L p -Spaces
• An Extremal Vector-Valued L p -Function Taking no Extremal Vectors as Values
• Strongly Exposed Points in Lebesgue-Bochner Function Spaces
• Extreme points of the unit cell in Lebesgue-Bochner function spaces
• Some geometric and topological properties of the unit ball in Banach spaces

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