On proximinality of subspaces and the lineability of the set of norm-attaining functionals of Banach spaces
DOI10.1016/j.jfa.2019.108353zbMath1435.46008arXiv1805.05979OpenAlexW2980173532WikidataQ127091030 ScholiaQ127091030MaRDI QIDQ2281177
Publication date: 19 December 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.05979
Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04) Lineability in functional analysis (46B87)
Related Items (3)
Cites Work
- Norm-attaining functionals need not contain 2-dimensional subspaces
- Proximinality and renormings: some new examples
- Semicontinuity of metric projections in \(c_0\)-direct sums
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- Transitivity of proximinality and norm attaining functionals
- Proximinal Subspaces of Finite Codimesion in General Normed Linear Spaces
- An Introduction to Banach Space Theory
- Semi-continuity of metric projections in ℓ_{∞}-direct sums
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- Strong proximinality and polyhedral spaces
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