A characterization of reflexive spaces

DOI10.1007/s00208-010-0528-0zbMath1217.46007OpenAlexW2077522629MaRDI QIDQ623319

María D. Acosta, Vladimir Kadets

Publication date: 14 February 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0528-0

zbMATH Keywords

reflexive Banach spaceGrothendieck spaceequivalent normnorm attaining functionals

Mathematics Subject Classification ID

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

Related Items (5)

Several remarks on norm attainment in tensor product spaces ⋮ Compactness, Optimality, and Risk ⋮ Examples and applications of the density of strongly norm attaining Lipschitz maps ⋮ Reflexivity and nonweakly null maximizing sequences ⋮ Grothendieck spaces: the landscape and perspectives

Cites Work

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• Geometry of Banach spaces. Selected topics
• On a problem of Namioka on norm-attaining functionals
• Dual spaces generated by the interior of the set of norm attaining functionals
• Characterizations of reflexivity
• A Characterization of Banach Spaces Containing l ¹
• New Characterizations of the Reflexivity in Terms of the Set of Norm Attaining Functionals
• A note on norm attaining functionals
• Topological Properties of the Set of Norm-Attaining Linear Functionals
• Functional analysis and infinite-dimensional geometry

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