Guirao Sánchez, Antonio José; Hajek, P.(American Mathematical Society, 2007-06-22)
[EN] It is known that, given a Banach space (X, parallel to center dot parallel to), the modulus of convexity associated to this space delta X is a non-negative function, nondecreasing, bounded above by the modulus of ...
Guirao Sánchez, Antonio José; Hajek, P.(Springer-Verlag, 2007-11)
[EN] Let X be a separable superreflexive Banach space with a Schauder basis. We prove the existence of an equivalent uniformly smooth (resp. uniformly rotund) renorming under which the given basis is monotone.