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.
Report on twisted sums of Banach spaces.
This note is to report some of the advances obtained as a follow-up of the book [2] on the topic of twisted sums of Banach spaces. Since this announcement is no longer enough to contain the theory being developed, we submit the interested reader to [2] and to [1], where full details and proofs shall appear.
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.
Representaciones de los espacios OM (E) y DLP (E).
Representation and duality of multiplication operators on archimedean Riesz spaces
Représentation intégrale dans certains convexes
Representation of continuous linear functionals on a subspace of a countable Cartesien product of Banach spaces
Representation of operators with martingales and the Radon-Nikodým property.
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators acting between L1 and X have a representation function. These spaces can be characterized in terms of martingales, as those spaces in which every uniformly bounded martingale converges. In the present work we study some classes of operators defined upon their behaviour with respect to the convergence of such martingales. We prove that an operator preserves the non-convergence of uniformly bounded...
Representation of the Hausdorff measure of noncompactness in special Banach spaces
Representation of vector measures.
Représentations d'opérateurs à valeurs dans L1 (X,..,..).
Representations of Orlicz lattices [Book]
Representing non-weakly compact operators
For each S ∈ L(E) (with E a Banach space) the operator R(S) ∈ L(E**/E) is defined by R(S)(x** + E) = S**x** + E(x** ∈ E**). We study mapping properties of the correspondence S → R(S), which provides a representation R of the weak Calkin algebra L(E)/W(E) (here W(E) denotes the weakly compact operators on E). Our results display strongly varying behaviour of R. For instance, there are no non-zero compact operators in Im(R) in the case of and C(0,1), but R(L(E)/W(E)) identifies isometrically with...
Representing trees as relatively compact subsets of the first Baire class
Reproductibilité de l... dans les produits tensoriels.
Resoluciones proyectivas del operador identidad y bases de Markushevich en ciertos espacios de Banach.
Resolutions of the identity in certain Banach spaces.
Reverses of the triangle inequality in Banach spaces.