UNIFORM SMOOTHNESS ENTAILS HAHN-BANACH

DOI10.1080/16073606.2001.9639231zbMath0993.03060OpenAlexW2010703671MaRDI QIDQ4531642

Edmond Albius, Marianne Morillon

Publication date: 2001

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://www.ajol.info/viewissue.php?jid=125&id=673&ab=0

zbMATH Keywords

Banach spaceHahn-Banachaxiom of choiceGâteaux differentiabilitysmoothness of a normuniformly smooth normed spaces

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Axiom of choice and related propositions (03E25)

Related Items (2)

Countable choice and compactness ⋮ James sequences and Dependent Choices

Cites Work

• On the Constructive Hahn-Banach Theorem
• Definability of measures and ultrafilters
• The Hahn-Banach Property and the Axiom of Choice
• The axiom of choice
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