[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 ...
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 ...