Several remarks on norm attainment in tensor product spaces

DOI10.1007/s00009-023-02412-3zbMath1522.46019arXiv2209.02947OpenAlexW4376105989MaRDI QIDQ6040057

Abraham Rueda Zoca

Publication date: 24 May 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02947

zbMATH Keywords

projective tensor productstrong subdifferentiability\(w^\ast\)-Kadec-Klee propertynorm-attaining tensor

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Operators on Banach spaces (47B01)

Cites Work

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• Examples and applications of the density of strongly norm attaining Lipschitz maps
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• Strong subdifferentiability and local Bishop-Phelps-Bollobás properties
• On operators which attain their norm
• Local Bishop-Phelps-Bollobás properties
• A multilinear Lindenstrauss theorem
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• A survey on Lipschitz-free Banach Spaces
• The Bishop-Phelps-Bollobás Theorem for bilinear forms
• Octahedral norms in tensor products of Banach spaces
• Functional analysis and infinite-dimensional geometry
• On norm-attainment in (symmetric) tensor products
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