ON A FUNCTION MODULE WITH APPROXIMATE HYPERPLANE SERIES PROPERTY

DOI10.1017/S1446788719000144zbMath1473.46010OpenAlexW2954986364WikidataQ122112590 ScholiaQ122112590MaRDI QIDQ5110623

Mary Lilian Lourenço, T. Grando

Publication date: 21 May 2020

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

Full work available at URL: https://doi.org/10.1017/s1446788719000144

zbMATH Keywords

approximate hyperplane series propertyBishop-Phelps-Bollobás property for operatorsfunction module space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Isometric theory of Banach spaces (46B04)

Related Items (1)

The Bishop–Phelps–Bollobás Theorem: An Overview

Cites Work

• The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces
• A Bishop-Phelps-Bollobás type theorem for uniform algebras
• The Bishop-Phelps-Bollobás property and lush spaces
• The Bishop-Phelps-Bollobás theorem for \(\mathcal L(L_1 (\mu), L_\infty [0,1)\)]
• The Bishop-Phelps-Bollobás theorem for operators from \(L_1(\mu)\) to Banach spaces with the Radon-Nikodým property
• The Bishop-Phelps-Bollobás theorem for operators
• M-structure and the Banach-Stone theorem
• Bishop-Phelps-Bollobás moduli of a Banach space
• The Bishop-Phelps-Bollobás theorem for operators on \(L_1(\mu)\)
• Bishop-Phelps-Bollobás property for certain spaces of operators
• On Banach spaces with the approximate hyperplane series property
• On operators which attain their norm
• The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions
• The Bishop-Phelps-Bollobás theorem and Asplund operators
• A proof that every Banach space is subreflexive
• The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B
• Uniform Convexity and the Bishop–Phelps–Bollobás Property
• An Extension to the Theorem of Bishop and Phelps

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