The Bishop-Phelps-Bollobàs Property for Compact Operators

DOI10.4153/CJM-2016-036-6zbMath1405.46011arXiv1604.00618OpenAlexW2907467999MaRDI QIDQ4609540

Domingo García, Manuel Maestre, Miguel Martín, Sheldon Dantas

Publication date: 4 April 2018

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00618

zbMATH Keywords

compact operatorBishop-Phelps theoremBishop-Phelps-Bollobás propertynorm attaining operator

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Related Items (14)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Some stability properties for the Bishop–Phelps–Bollobás property for Lipschitz maps ⋮ A generalized ACK structure and the denseness of norm attaining operators ⋮ The Bishop–Phelps–Bollobás properties in complex Hilbert spaces ⋮ A Bishop-Phelps-Bollobás theorem for bounded analytic functions ⋮ 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 ⋮ Some Bishop-Phelps-Bollobás type properties in Banach spaces with respect to minimum norm of bounded linear operators ⋮ On the compact operators case of the Bishop-Phelps-Bollobás property for numerical radius ⋮ On the Bishop–Phelps–Bollobás property ⋮ On the Pointwise Bishop–Phelps–Bollobás Property for Operators ⋮ The Bishop-Phelps-Bollobás property for Lipschitz maps ⋮ Denseness of norm attaining compact operators to some vector-valued function spaces

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