The Bishop-Phelps-Bollobás property and lush spaces

DOI10.1016/j.jmaa.2012.01.053zbMath1247.46009OpenAlexW1983387259MaRDI QIDQ412427

Sun Kwang Kim, Yun Sung Choi

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.053

zbMATH Keywords

Bishop-Phelps-Bollobás propertynumerical indexalternative Daugavet propertyapproximate hyperplane series propertylush space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (11)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ The Bishop-Phelps-Bollobás property for operators from \(\mathcal C(K)\) to uniformly convex spaces ⋮ ON A FUNCTION MODULE WITH APPROXIMATE HYPERPLANE SERIES PROPERTY ⋮ The Bishop-Phelps-Bollobás theorem for operators on \(L_1(\mu)\) ⋮ Some geometric properties of disk algebras ⋮ On the Bishop–Phelps–Bollobás property ⋮ Strong subdifferentiability and local Bishop-Phelps-Bollobás properties ⋮ The Bishop-Phelps-Bollobás Theorem for bilinear forms ⋮ Bishop-Phelps-Bollobás property for certain spaces of operators ⋮ The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(\ell_1\) sums of Banach spaces

Cites Work

• Unnamed Item
• Polynomial numerical indices of Banach spaces with 1-unconditional bases
• An alternative Daugavet property
• 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 Daugavet equation for operators on function spaces
• The Bishop-Phelps-Bollobás theorem for operators
• Norm attaining operators on some classical Banach spaces
• Intersection properties of balls in spaces of compact operators
• Convexity and smoothness of Banach spaces with numerical index one
• Numerical index of vector-valued function spaces
• The Bishop-Phelps-Bollobás theorem and Asplund operators
• A proof that every Banach space is subreflexive
• Numerical index of Banach spaces and duality
• Properties of lush spaces and applications to Banach spaces with numerical index 1
• A sharp operator version of the Bishop-Phelps theorem for operators from $\ell _1$ to CL-spaces
• Extension of compact operators
• The Numerical Index of a Normed Space
• An Extension to the Theorem of Bishop and Phelps

This page was built for publication: The Bishop-Phelps-Bollobás property and lush spaces