The Bishop-Phelps-Bollobás and approximate hyperplane series properties

DOI10.1016/j.jfa.2017.09.008zbMath1407.46008arXiv1708.08679OpenAlexW2753372808MaRDI QIDQ1706641

María D. Acosta, Maryam Soleimani-Mourchehkhorti, Mieczyslaw Mastylo

Publication date: 22 March 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08679

zbMATH Keywords

Banach spaceBishop-Phelps-Bollobás propertyBishop-Phelps-Bollobás theoremnorm attaining operatorapproximate hyperplane series property (AHSp)

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (13)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Stability results of properties related to the Bishop-Phelps-Bollobás property for operators ⋮ Local Bishop-Phelps-Bollobás properties ⋮ The Bishop–Phelps–Bollobás properties in complex Hilbert spaces ⋮ The Bishop-Phelps-Bollobás property and absolute sums ⋮ There is no operatorwise version of the Bishop–Phelps–Bollobás property ⋮ Emerging notions of norm attainment for Lipschitz maps between Banach spaces ⋮ On the Bishop–Phelps–Bollobás property ⋮ On Banach spaces whose group of isometries acts micro-transitively on the unit sphere ⋮ A Urysohn-type theorem and the Bishop-Phelps-Bollobás theorem for holomorphic functions ⋮ On the Pointwise Bishop–Phelps–Bollobás Property for Operators ⋮ The Bishop-Phelps-Bollobás property on the space of \(c_0\)-sum ⋮ Wheeling around Mazur rotations problem

Cites Work

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• The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces
• A Bishop-Phelps-Bollobás type theorem for uniform algebras
• The AHSp is inherited by \(E\)-summands
• The approximate hyperplane series property and related properties
• The Bishop-Phelps-Bollobás theorem for \(\mathcal L(L_1 (\mu), L_\infty [0,1)\)]
• The Bishop-Phelps-Bollobás theorem for operators
• On dentability and the Bishop-Phelps property
• Bishop-Phelps-Bollobás moduli of a Banach space
• On Banach spaces with the approximate hyperplane series property
• The Bishop-Phelps-Bollobás theorem for operators from \(\ell_1\) sums of Banach spaces
• On operators which attain their norm
• Symmetric block bases of sequences with large average growth
• The Bishop-Phelps-Bollobás Theorem for bilinear forms
• A proof that every Banach space is subreflexive
• The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B
• An Extension to the Theorem of Bishop and Phelps
• Monotonicity and rotundity properties in Banach lattices

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