A refinement of a lemma by Aron, Cascales, and Kozhushkina on Asplund operators

DOI10.12697/ACUTM.2024.28.10MaRDI QIDQ6586009

Jaagup Kirme

Publication date: 12 August 2024

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

Bishop-Phelps-Bollobás theoremAsplund operatoruniform Banach algebranorm-attaining operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Isometric theory of Banach spaces (46B04) Operators on Banach spaces (47B01)

Cites Work

• A Bishop-Phelps-Bollobás type theorem for uniform algebras
• \(\Gamma\)-flatness and Bishop-Phelps-Bollobás type theorems for operators
• Bishop-Phelps-Bollobás moduli of a Banach space
• A Bishop-Phelps-Bollobás theorem for Asplund operators
• The Bishop-Phelps-Bollobás theorem and Asplund operators
• Radon‐Nikodým compact spaces and fragmentability
• An Extension to the Theorem of Bishop and Phelps

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