Quantitative version of the Bishop-Phelps-Bollobas theorem for operators with values in a space with the property β
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
The Bishop-Phelps-Bollobas property for operators deals with simultaneous approximation of an operator T and a vector x at which T:X→Y nearly attains its norm by an operator F and a vector z, respectively, such that F attains its norm at z. We study the possible estimates from above and from below for parameters that measure the rate of approximation in the Bishop-Phelps-Bollobas property for operators for the case of Y having the property β of Lindenstrauss.
Authors and Affiliations
Volodymyr Kadets, Mariia Soloviova
Keywords
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- EP ID EP310049
- DOI 10.15330/ms.47.1.71-90
- Views 69
- Downloads 0
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