Agud Albesa, Lucia; Calabuig, J. M.; Lajara, Sebastian; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2017-07)
[EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach ...
Avilés López, Antonio; Guirao Sánchez, Antonio José; Rodríguez, José(Elsevier, 2014)
[EN] We study the Bishop-Phelps-Bollobás property for numerical radius within
the framework of C(K) spaces. We present several sufficient conditions on a compact
space K ensuring that C(K) has the Bishop-Phelps-Bollobás ...
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 ...