Proximinal subspaces of finite codimension in direct sum spaces

DOI10.1007/BF02829593zbMath0993.46005MaRDI QIDQ5947476

V. Indumathi

Publication date: 25 September 2002

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

zbMATH Keywords

\(\ell_1\)-direct sum of Banach spaces\(c_0\)-direct sum of Banach spacescoordinate spacesproximinal subspacesstrong proximinality of subspaces of finite codimension

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (3)

Simultaneously proximinal subspaces ⋮ Some remarks on proximinality in higher dual spaces ⋮ On a Garkavi Type Theorem forM-Ideals of Finite Codimension

Cites Work

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• Elements of best approximation relative to subspaces of finite codimension
• Subspaces of finite codimension: The existence of elements of best approximation
• On transitivity of proximinality
• Proximinal Subspaces of Finite Codimesion in General Normed Linear Spaces
• Strong proximinality and polyhedral spaces

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