[EN] We prove that there exists an equivalent norm vertical bar vertical bar vertical bar center dot vertical bar vertical bar vertical bar on L-infinity[0,1] with the following properties:; (1) The unit ball of (L-infinity[0,1], ...
Cobollo Gómez, Christian(Universitat Politècnica de València, 2020-10-26)
[ES] Renormar un espacio de Banach consiste en definir en él una norma que genere la misma topología. Dos normas que generan la misma topología se dice que son equivalentes. Se busca que la norma equivalente tenga mejores ...
[EN] We prove that every Banach space admitting a Gâteaux smooth norm and containing a complemented copy of I1 has an equivalent renorming which is simultaneously Gâteaux smooth and octahedral. This is a partial solution ...
[EN] In this paper, we present some sufficient conditions on a metric space M for which every molecule is a strongly subdifferentiable (SSD, for short) point in the Lipschitz- free space F(M) over M. Our main result reads ...
Cobollo-Gómez, Christian; Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente(Elsevier, 2024-10-01)
[EN] We provide the explicit formula for the numerical index of any 2 -dimensional Lipschitz-free space, also giving the construction of operators attaining this value as its numerical radius. As a consequence, the numerical ...