The Bishop-Phelps-Bollobás property: a finite-dimensional approach

DOI10.4171/PRIMS/151zbMath1333.46009MaRDI QIDQ2344492

María D. Acosta, Sun Kwang Kim, Julio Becerra Guerrero, Domingo García, Manuel Maestre

Publication date: 15 May 2015

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

uniform convexityuniformly convex spaceBishop-Phelps theoremnorm attaining operators

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 (5)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Characterization of Banach spaces \(Y\) satisfying that the pair \((\ell_\infty^4, Y)\) has the Bishop-Phelps-Bollobás property for operators ⋮ The Bishop-Phelps-Bollobás property for operators from \(c_{0}\) into some Banach spaces ⋮ A basis of \(\mathbb{R}^n\) with good isometric properties and some applications to denseness of norm attaining operators ⋮ On the Bishop–Phelps–Bollobás property

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 Bishop-Phelps-Bollobás property for operators from \(\mathcal C(K)\) to uniformly convex spaces
• The Bishop-Phelps-Bollobás theorem for operators
• Norm-attaining compact operators
• Bishop-Phelps-Bollobás property for certain spaces of operators
• The Bishop-Phelps-Bollobás theorem and Asplund operators
• A proof that every Banach space is subreflexive
• An Extension to the Theorem of Bishop and Phelps

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