32 citations · 35 across the 6 of their papers we have counts for
4 papers · 1 filter
Quantitative version of the Bishop-Phelps-Bollobás theorem for operators with values in a space with the property
Vladimir Kadets, Mariia Soloviova
The Bishop-Phelps-Bollobás property for operators deals with simultaneous approximation of an operator and a vector at which nearly attains its norm by…
-flatness and Bishop-Phelps-Bollobás type theorems for operators
Bernardo Cascales, Antonio J. Guirao, Vladimir Kadets +1
The Bishop-Phelps-Bollobás property deals with simultaneous approximation of an operator and a vector at which nearly attains its norm by an operator and a vector…
Norm attaining Lipschitz functionals
Vladimir Kadets, Miguel Martin, Mariia Soloviova
We prove that for a given Banach space , the subset of norm attaining Lipschitz functionals in is weakly dense but not strongly dense. Then we introduce a we…
Two refinements of the Bishop-Phelps-Bollobás modulus
Mario Chica, Vladimir Kadets, Miguel Martin +2
Extending the celebrated result by Bishop and Phelps that the set of norm attaining functionals is always dense in the topological dual of a Banach space, Bollobás proved the nowad…