Guirao Sánchez, Antonio José; Lissitsin, A.; Montesinos Santalucia, Vicente(Springer-Verlag, 2019-07)
[EN] In Fabian et al. (Arch Math (Basel) 78(6):459-464, 2002) it was proved that, if a Valdivia compact space K has property P a property defined in terms of the Gateaux differentiability of certain norms on C(K)then, under ...
Guirao Sánchez, Antonio José; Lissitsin, A.; Montesinos Santalucia, Vicente(Elsevier, 2019-11-01)
[EN] A Banach space X has the so-called ball-covering property whenever its unit sphere can be covered by a countable collection of open balls that miss the origin. If 0 < alpha < 1, then X has the alpha-ball covering ...