Biholomorphic mappings and Banach function modules.
Boundary values of vector-valued harmonic functions considered as operators
Bounded Holomorphic Embeddings of the Unit Disk into Banach Spaces.
Characterizations of almost transitive superreflexive Banach spaces
Almost transitive superreflexive Banach spaces have been considered in [7] (see also [4] and [6]), where it is shown that such spaces are uniformly convex and uniformly smooth. We prove that convex transitive Banach spaces are either almost transitive and superreflexive (hence uniformly smooth) or extremely rough. The extreme roughness of a Banach space means that, for every element in the unit sphere of , we have We note that, in general, the property of convex transitivity for a Banach...
Classes of nonseparable Banach spaces with no universal element
Compacidad débil en espacios de funciones integrables-Bochner, y la propiedad de Radon-Nikodym.
Compact non-nuclear operator problem
Continuous version of the Choquet integral representation theorem
Let E be a locally convex topological Hausdorff space, K a nonempty compact convex subset of E, μ a regular Borel probability measure on E and γ > 0. We say that the measure μ γ-represents a point x ∈ K if for any f ∈ E*. In this paper a continuous version of the Choquet theorem is proved, namely, if P is a continuous multivalued mapping from a metric space T into the space of nonempty, bounded convex subsets of a Banach space X, then there exists a weak* continuous family of regular Borel...
Convergence des martingales pluri-sous-harmoniques vectorielles à deux indices
Convolution of Operators and Applications.
Correction to the paper "First class selectors for weakly upper semi-continous multivalued maps in Banach spaces".
Dense strong continuity of mappings and the Radon-Nikodym property.
Dentability and finite-dimensional decompositions
Denting point in the space of operator-valued continuous maps.
In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H < 8 and card K < 8 and dent B(L(H)) = 0 if dim H < 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).
Denting points in Bochner Banach ideal spaces .
Deux remarques sur la propriété de Radon-Nikodym analytique
Dual spaces of compact operator spaces and the weak Radon-Nikodým property
We deal with the weak Radon-Nikodým property in connection with the dual space of (X,Y), the space of compact operators from a Banach space X to a Banach space Y. First, under the weak Radon-Nikodým property, we give a representation of that dual. Next, using this representation, we provide some applications to the dual spaces of (X,Y) and , the space of weak*-weakly continuous operators.
Dual spaces of JB*-triples and the Radon-Nikodym property.
Dunford-Pettis-like properties of projective and natural tensor product spaces.
Several properties of weakly p-summable sequences and of the scale of p-converging operators (i.e., operators transforming weakly p-summable sequences into convergent sequences) in projective and natural tensor products with an lp space are considered. The last section studies the Dunford-Pettis property of order p (i.e., every weakly compact operator is p-convergent) in those spaces.
Éléments positifs relatifs à une algèbre hilbertienne à gauche