On residuality of the set of rotund norms on a Banach space

DOI10.1007/BF01450688zbMath0465.46003OpenAlexW2050751141MaRDI QIDQ1154627

Martin Fabian, Václav Zizler, Luděk Zajíček

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/163601

zbMATH Keywords

averaged normsset of rotund norms

Mathematics Subject Classification ID

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

Related Items (6)

The fixed point property under renorming in some classes of Banach spaces ⋮ Continuous selections for inverse mappings in Banach spaces ⋮ Approximation of norms on Banach spaces ⋮ Distortion and stability of the fixed point property for non-expansive mappings ⋮ Isometric embedding of ℓ₁ into Lipschitz-free spaces and ℓ_{∞} into their duals ⋮ Extensions of uniformly smooth norms on Banach spaces

Cites Work

• Some new results on smoothness and rotundity in normed linear spaces
• Geometry of Banach spaces. Selected topics
• Averaged norms
• Shorter Notes: A Short Proof of a Version of Asplund's Norm Averaging Theorem
• Unnamed Item

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