Some kind of Bishop-Phelps-Bollobás property

DOI10.1002/MANA.201500487zbMath1372.46009OpenAlexW2529364865MaRDI QIDQ2986641

Sheldon Dantas

Publication date: 16 May 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500487

zbMATH Keywords

uniform convexityBishop-Phelps theoremnorm attaining operatorsBishop-Phelps-Bollobás property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04)

Related Items (11)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Norm-attaining operators which satisfy a Bollobás type theorem ⋮ Local Bishop-Phelps-Bollobás properties ⋮ There is no operatorwise version of the Bishop–Phelps–Bollobás property ⋮ On uniform Bishop-Phelps-Bollobás type approximations of linear operators and preservation of geometric properties ⋮ On norm-attaining mappings on Banach spaces ⋮ Some Bishop-Phelps-Bollobás type properties in Banach spaces with respect to minimum norm of bounded linear operators ⋮ Strong subdifferentiability and local Bishop-Phelps-Bollobás properties ⋮ A characterization of a local vector valued Bollobás theorem ⋮ Norm-attaining tensors and nuclear operators ⋮ Smooth points in operator spaces and some Bishop-Phelps-Bollobás type theorems in Banach spaces

Cites Work

• The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces
• A Lindenstrauss theorem for some classes of multilinear mappings
• The Bishop-Phelps-Bollobás theorem for operators
• Bishop-Phelps-Bollobás moduli of a Banach space
• On the intrinsic and the spatial numerical range
• On operators which attain their norm
• Banach space theory. The basis for linear and nonlinear analysis
• Topics in Banach Space Theory
• A proof that every Banach space is subreflexive
• An Introduction to Banach Space Theory
• Uniform Convexity and the Bishop–Phelps–Bollobás Property
• An Extension to the Theorem of Bishop and Phelps

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