Some remarks on proximinality in higher dual spaces

DOI10.1016/j.jmaa.2006.06.026zbMath1122.46006OpenAlexW1979180847MaRDI QIDQ864632

T. S. S. R. K. Rao

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.026

zbMATH Keywords

proximinalityduals of higher order

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04)

Related Items (7)

On proximinality of convex sets in superspaces ⋮ E-proximinal subspaces ⋮ Strong proximinality and intersection properties of balls in Banach spaces ⋮ Unnamed Item ⋮ Ball proximinality of equable spaces ⋮ Best Constrained Approximation in Banach Spaces ⋮ Existence sets of best coapproximation and projections of norm one

Cites Work

• Unnamed Item
• \(M\)-ideals in Banach spaces and Banach algebras
• On the geometry of higher duals of a Banach space
• Approximation by continuous vector valued functions
• On a Sufficient Condition for Proximity
• Semi-continuity of metric projections in ℓ_{∞}-direct sums
• An approximative property of spaces of continuous functions
• Grothendieck spaces in approximation theory
• Proximinal subspaces of finite codimension in direct sum spaces
• On ideals in Banach spaces
• Strong proximinality and polyhedral spaces

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