[EN] The Bishop-Phelps-Bollobas property deals with simultaneous approximation of an operator T and a vector x at which T nearly attains its norm by an operator T-o and a vector x(o), respectively, such that T-o attains ...
Aliaga, Ramón J.; Guirao Sánchez, Antonio José(Institute of Mathematics, Polish Academy of Sciences, 2019)
[EN] We characterize preserved extreme points of the unit ball of Lipschitz-free spaces F(X) in terms of simple geometric conditions on the underlying metric space (X,d). Namely, the preserved extreme points are the ...
Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav(Institute of Mathematics, Polish Academy of Sciences, 2018)
[EN] We use the smooth variational principle and a standard renorming to give a short direct proof of the classical Bishop-Phelps-Bollobas theorem on the density of norm-attaining functionals for weakly compactly generated ...