Two results on strong proximinality

DOI10.1007/s12044-021-00613-yzbMath1477.46010OpenAlexW3158761579MaRDI QIDQ2043211

T. S. S. R. K. Rao

Publication date: 29 July 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-021-00613-y

zbMATH Keywords

\(M\)-idealsstrongly proximinal subspacestrong subdifferentiabilitySSD point

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 (2)

Order preserving quotient lifting properties ⋮ Best approximation in spaces of compact operators

Cites Work

• Norm-attaining functionals need not contain 2-dimensional subspaces
• \(M\)-ideals in Banach spaces and Banach algebras
• Some geometric properties of Read's space
• Strong proximinality and intersection properties of balls in Banach spaces
• Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory
• Structure in real Banach spaces. I and II
• Strong proximinality and polyhedral spaces
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