Ball proximinality of 𝑀-ideals of compact operators

DOI10.1090/PROC/15446zbMath1470.46038arXiv2008.06769OpenAlexW3158141625MaRDI QIDQ4992923

Sreejith Siju, C. R. Jayanarayanan

Publication date: 10 June 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06769

zbMATH Keywords

compact operators\(M\)-idealsball proximinality\(M\)-embedded spaces

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spaces of operators; tensor products; approximation properties (46B28) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Isometric theory of Banach spaces (46B04)

Related Items (1)

Strong ball proximinality of the space of compact operators

Cites Work

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• \(M\)-ideals in Banach spaces and Banach algebras
• Approximation by compact operators on certain Banach spaces
• \(M\)-ideals and the ``basic inequality
• Strong proximinality and intersection properties of balls in Banach spaces
• The Essential Norm of an Operator and its Adjoint
• On the principle of local reflexivity
• On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample
• Grothendieck spaces in approximation theory
• Spaces of compact operators and their dual spaces
• Approximation by compact operators and the space \(H^\infty +C\)

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