Average locally uniform rotundity and a class of nonlinear maps

DOI10.1016/j.na.2010.11.001zbMath1218.46008OpenAlexW1992455810MaRDI QIDQ629309

Sebastián Lajara

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.001

zbMATH Keywords

dual norm\(\sigma \)-slicely continuous mapALUR normLUR normproperties of countable covering

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonlinear functional analysis (46T99)

Cites Work

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• Renorming Banach spaces with the Mazur intersection property
• On a property of the norm which is close to locally uniform rotundity
• On dual locally uniformly rotund norms
• ALUR dual renormings of Banach spaces
• Midpoint Locally Uniform Rotundity and a Decomposition Method for Renorming
• Some Nonlinear Maps and Renormings of Banach Spaces
• Characterizations of Denting Points
• Some more characterizations of Banach spaces containing l₁
• Locally uniformly rotund renorming and fragmentability
• Trees in Renorming Theory
• Locally uniformly rotund norms
• Some geometric and topological properties of the unit ball in Banach spaces

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