On transitivity of proximinality

DOI10.1016/0021-9045(87)90083-9zbMath0621.41024OpenAlexW1999757696MaRDI QIDQ1089855

V. Indumathi

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90083-9

zbMATH Keywords

inner product spacesproximinal subspace

Mathematics Subject Classification ID

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) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (8)

Convexity and best approximation in Banach spaces ⋮ Norm-attaining functionals need not contain 2-dimensional subspaces ⋮ Proximinality and renormings: some new examples ⋮ Some geometric properties of Read's space ⋮ Proximinality in subspaces of \(c_0\) ⋮ Strong subdifferentiability of convex functionals and proximinality ⋮ Strong proximinality and intersection properties of balls in Banach spaces ⋮ Proximinal subspaces of finite codimension in direct sum spaces

Cites Work

• Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces
• On the existence of extremal projections
• Cebysev subspaces of finite codimension in \(C(X)\)
• Proximinal Subspaces of Finite Codimesion in General Normed Linear Spaces
• A smooth, non-reflexive second conjugate space
• THE HELLY PROBLEM AND BEST APPROXIMATION OF SUMMABLE FUNCTIONS
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