Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces
DOI10.1016/j.jat.2016.08.003zbMath1362.41010OpenAlexW2521300487MaRDI QIDQ346228
S. Lalithambigai, C. R. Jayanarayanan
Publication date: 5 December 2016
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2016.08.003
M-ideal\(L_1\)-predualball proximinalitycontinuity of metric projectionstrong ball proximinalitystrong proximinality
Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)
Related Items (7)
Cites Work
- Some examples concerning proximinality in Banach spaces
- Chebyshev centers and some geometric properties of Banach spaces
- \(M\)-ideals in Banach spaces and Banach algebras
- Ball proximinality of equable spaces
- Lipschitz maps and the geometry of the unit ball in normed spaces
- Continuity properties of Chebyshev centers
- Strong proximinality and intersection properties of balls in Banach spaces
- Stability of ball proximinality
- Metric projections and polyhedral spaces
- Extensions of continuous affine functions
- Suns, moons, and quasi-polyhedra
- Strongly proximinal subspaces of finite codimension in C(K)
- On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample
- Extension of compact operators
- Strong proximinality and polyhedral spaces
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