Reflexive Banach spaces without equivalent norms which are uniformly convex or uniformly differentiable in every direction
Reflexive spaces and numerical radius attaining operators.
In this note we deal with a version of James' Theorem for numerical radius, which was already considered in [4]. First of all, let us recall that this well known classical result states that a Banach space satisfying that all the (bounded and linear) functionals attain the norm, has to be reflexive [16].
Regulated domains and Bergman type projections.
Relations d'ordre dans les Banach : quelques applications à l'analyse
Renormalizations of Banach and locally convex algebras
Renorming and operators.
Renorming Concerning Mazur's Intersection Property of Balls for Weakly Compact Convex Sets.
Renorming in the Space of Bochner Intgrable Functions.
Renormings of c 0 and the minimal displacement problem
The aim of this paper is to show that for every Banach space (X, || · ||) containing asymptotically isometric copy of the space c0 there is a bounded, closed and convex set C ⊂ X with the Chebyshev radius r(C) = 1 such that for every k ≥ 1 there exists a k-contractive mapping T : C → C with [...] for any x ∊ C.
Representable Banach Spaces and Uniformly Gateaux-Smooth Norms
It is proved that a representable non-separable Banach space does not admit uniformly Gâteaux-smooth norms. This is true in particular for C(K) spaces where K is a separable non-metrizable Rosenthal compact space.
Representing trees as relatively compact subsets of the first Baire class