Schauder bases and diametrically complete sets with empty interior

DOI10.1016/j.jmaa.2018.02.024zbMath1400.46008OpenAlexW2792889112MaRDI QIDQ1747043

Wiesława Kaczor, Aleksandra Grzesik, Tadeusz Kuczumow, Budzyńska, Monika

Publication date: 3 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.024

zbMATH Keywords

Schauder basisOpial propertyKadec-Klee propertydiametrically complete setdiametral setnon-strict Opial property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (5)

Complete sets in normed linear spaces ⋮ Diametrically complete sets with empty interior and constant width sets with empty interior ⋮ Renormings of nonseparable reflexive Banach spaces and diametrically complete sets with empty interior ⋮ Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces ⋮ Thin sets of constant width

Cites Work

• Structure of the space of diametrically complete sets in a Minkowski space
• Diametrically complete sets and normal structure
• Geometry of Banach spaces. Selected topics
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Diametrically Maximal and Constant Width Sets in Banach Spaces
• Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
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