6533b870fe1ef96bd12cf053

RESEARCH PRODUCT

Bishop–Phelps–Bollobás property for certain spaces of operators

Julio Becerra-guerreroDomingo GarcíaSun Kwang KimMaría D. AcostaManuel Maestre

subject

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsFunctional analysisApproximation propertyApplied MathematicsBanach spaceCharacterization (mathematics)Operator theoryCompact operatorLinear subspaceCompact operator on Hilbert spaceAnalysisMathematics

description

Abstract We characterize the Banach spaces Y for which certain subspaces of operators from L 1 ( μ ) into Y have the Bishop–Phelps–Bollobas property in terms of a geometric property of Y , namely AHSP. This characterization applies to the spaces of compact and weakly compact operators. New examples of Banach spaces Y with AHSP are provided. We also obtain that certain ideals of Asplund operators satisfy the Bishop–Phelps–Bollobas property.

yearjournalcountryeditionlanguage
2014-06-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2013.12.056