Smooth renormings of the Lebesgue–Bochner function space L1(μ,X)

DOI10.4064/SM209-3-4zbMath1262.46007OpenAlexW2069259630MaRDI QIDQ2891268

Sebastián Lajara, Marian J. Fabian

Publication date: 13 June 2012

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm209-3-4

zbMATH Keywords

smooth normuniformly smooth normFréchet smooth normLebesgue-Bochner space \(L^1(\mu,X)\)Orlicz-Bochner normreflexive subspaces of \(L^1(\mu,X)\)uniformly Fréchet smooth norm

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (4)

Super WCG Banach spaces ⋮ Strongly Asplund generated and strongly conditionally weakly compactly generated Banach spaces ⋮ Köthe-Bochner spaces and some geometric properties related to rotundity and smoothness ⋮ Differentiability of \(L^p\) of a vector measure and applications to the Bishop-Phelps-Bollobás property

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