A sharp operator version of the Bishop-Phelps theorem for operators from $\ell _1$ to CL-spaces

DOI10.1090/S0002-9939-2012-11326-7zbMath1263.47036OpenAlexW2088069508MaRDI QIDQ4907117

Duan Xu Dai, Yun Bai Dong, Li Xing Cheng

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11326-7

zbMATH Keywords

Banach spaceBishop-Phelps theoremnorm-attaining operatorCL-space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator approximation theory (47A58)

Related Items (7)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Yet on linear structures of norm-attaining functionals on Asplund spaces ⋮ A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces ⋮ The Bishop-Phelps-Bollobás property and lush spaces ⋮ On the Bishop–Phelps–Bollobás property ⋮ The Bishop-Phelps-Bollobás Theorem for bilinear forms ⋮ Bishop-Phelps-Bollobás property for certain spaces of operators

Cites Work

• Strong subdifferentiability of convex functionals and proximinality
• The Bishop-Phelps-Bollobás theorem for operators
• On dentability and the Bishop-Phelps property
• On CL-spaces and almost CL-spaces
• On operators which attain their norm
• A proof that every Banach space is subreflexive
• Extreme points, exposed points, differentiability points in CL-spaces
• Intersection Properties of Balls and Subspaces in Banach Spaces
• An Extension to the Theorem of Bishop and Phelps
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A sharp operator version of the Bishop-Phelps theorem for operators from $\ell _1$ to CL-spaces