Norm-attaining functionals need not contain 2-dimensional subspaces
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Publication:350521
DOI10.1016/j.jfa.2016.10.028zbMath1359.46008OpenAlexW2546735461MaRDI QIDQ350521
Publication date: 7 December 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2016.10.028
Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04)
Related Items (9)
Convexity and best approximation in Banach spaces ⋮ Some geometric properties of Read's space ⋮ Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$ ⋮ On isometric embeddings into the set of strongly norm-attaining Lipschitz functions ⋮ Lineability of the set of supporting vectors ⋮ Banach spaces which are isometric to subspaces of \(c_0(\Gamma)\) ⋮ On proximinality of subspaces and the lineability of the set of norm-attaining functionals of Banach spaces ⋮ Two results on strong proximinality ⋮ Closed linear spaces consisting of strongly norm attaining Lipschitz functionals
Cites Work
- Proximinality and renormings: some new examples
- Some new results on smoothness and rotundity in normed linear spaces
- On transitivity of proximinality
- Banach spaces with no proximinal subspaces of codimension 2
- Proximinality in subspaces of \(c_0\)
- Functionals that do not attain their norm
- Banach space theory. The basis for linear and nonlinear analysis
- Linear subsets of nonlinear sets in topological vector spaces
- A proof that every Banach space is subreflexive
- VECTOR SUBSPACES OF THE SET OF NON-NORM-ATTAINING FUNCTIONALS
- Proximinal Subspaces of Finite Codimesion in General Normed Linear Spaces
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