Cascales, B.; Guirao Sánchez, Antonio José; Kadets, V.(Elsevier, 2013-06-20)
This paper is devoted to showing that Asplund operators with range in a uniform Banach algebra have
the Bishop¿Phelps¿Bollobas property, i.e., they are approximated by norm attaining Asplund operators
at the same time ...
[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 ...
Aron, Richard M.; Bonet Solves, José Antonio; Maestre, Manuel(Springer-Verlag, 2024-03)
[EN] Let B(N )be the Euclidean ball of C-N. The space H-infinity(B-N) of bounded holomorphic functions on B-N is known to have a predual, denoted by G(infinity)(B-N). We study the functions in H-infinity(B-N) that attain ...
Guirao Sánchez, Antonio José; Kozhushkina, Olena(Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2013-07)
We show that the set of bounded linear operators from X to X admits a Bishop Phelps Bollobas type theorem for numerical radius whenever X is l(1)(C) or c(0)(C). As an essential tool we provide two constructive versions of ...