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Session 4. Banach Spaces and Operator Theory with Applications
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The Bishop-Phelps-Bollobás property for operators |
María D. Acosta, Universidad de Granada, Spain
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Bishop-Phelps Theorem states the denseness of the subset of norm
attaining functionals in the (topological) dual of a Banach
space. Bollobás proved a "quantitative" version of
Bishop-Phelps-Bollobás theorem, that has been useful for
numerical ranges of operators. Recently the study of extensions of
this result for operators was initiated in 2008. Since then some
papers providing results for classical Banach spaces appeared. We
will present recent results valid in case that the domain space of
the operators is \(C(K)\).
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