The generalised (uniform) Mazur Intersection Property

DOI10.1016/j.jmaa.2023.127001OpenAlexW4313893483MaRDI QIDQ2697699

Deepak Gothwal, Pradipta Bandyopadhyay

Publication date: 13 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.01974

zbMATH Keywords

(strong) \(\mathcal{C}\)-MIP(strong) \(\mathcal{C}\)-UMIPcompatible class

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Cites Work

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• Renorming concerning Mazur's intersection property of balls for weakly compact convex sets
• Mazur's intersection property for finite dimensional sets
• The Mazur property for compact sets
• Convex functions, monotone operators and differentiability
• Ball separation properties in Banach spaces
• Characterization of normed linear spaces with generalized Mazur intersection property
• On the Uniform Mazur Intersection Property
• Mazur's intersection property of balls for compact convex sets
• Uniform Mazur's Intersection Property of Balls
• Characterisation of normed linear spaces with Mazur's intersection property
• Mazur Intersection Properties for Compact and Weakly Compact Convex Sets
• The Mazur intersection property for families of closed bounded convex sets in Banach spaces
• On weak Hadamard differentiability of convex functions on Banach spaces
• Über schwache Konvergenz in den Raümen ($L^{p}$)

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