Sequence Spaces with Small ß-Duals.
Sequentially Right Banach spaces of order
We introduce and study two new classes of Banach spaces, the so-called sequentially Right Banach spaces of order , and those defined by the dual property, the sequentially Right Banach spaces of order for . These classes of Banach spaces are characterized by the notions of -limited sets in the corresponding dual space and subsets of the involved Banach space, respectively. In particular, we investigate whether the injective tensor product of a Banach space and a reflexive Banach space...
Smooth and R-analytic negligibility of subsets and extension of homeomorphisms in Banach spaces
Sobczyk's theorem and the Bounded Approximation Property
Sobczyk's theorem asserts that every c₀-valued operator defined on a separable Banach space can be extended to every separable superspace. This paper is devoted to obtaining the most general vector valued version of the theorem, extending and completing previous results of Rosenthal, Johnson-Oikhberg and Cabello. Our approach is homological and nonlinear, transforming the problem of extension of operators into the problem of approximating z-linear maps by linear maps.
Some class of uniformly non-square Orlicz-Bochner spaces
Some classes of multilinear operators on C(K) spaces
We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of the projective...
Some combinatorial and probabilistic inequalities and their application to Banach space theory
Some combinatorial and probabilistic inequalities and their application to Banach space theory II
Some convexity properties of Musielak-Orlicz spaces of Bochner type
Some geometric properties in Orlicz sequence spaces equipped with Orlicz norm.
Some isomorphic properties in projective tensor products
We give sufficient conditions implying that the projective tensor product of two Banach spaces and has the -sequentially Right and the --limited properties, .
Some natural families of M-ideals.
Some properties of the vector-valued Banach ideal space E(X) derived from those of E and X.
Some remarks on descriptive characterizations of the strong McShane integral
We present the full descriptive characterizations of the strong McShane integral (or the variational McShane integral) of a Banach space valued function defined on a non-degenerate closed subinterval of in terms of strong absolute continuity or, equivalently, in terms of McShane variational measure generated by the primitive of , where is the family of all closed non-degenerate subintervals of .
Some remarks on the history of functional analysis.
Some results in representable Banach spaces.
Some results are presented, concerning a class of Banach spaces introduced by G. Godefroy and M. Talagrand, the representable Banach spaces. The main aspects considered here are the stability in forming tensor products, and the topological properties of the weak* dual unitball.
Some results on Banach spaces without local unconditional structure
Some results on intersection properties of balls in complex Banach spaces
Some results on symmetric subspaces of
Sous-espaces complémentés isomorphes à c... dans les produits tensoriels de Saphar.