A restricted form of the theorem of Maurey-Pisier for the cotype in -Banach spaces
A result on the isomorphic embeddability of l¹(Γ)
A theorem on matrices and its applications in functional analysis
About certain isomorphic properties of Banach spaces in projective tensor products.
This note is an announcement of results contained in the papers [4], [5], [6] concerning isomorphic properties of Banach spaces in projective tensor products (for this definition and some property we refer to [1]). At the end, some new result is obtained too.
About some parameters of normed linear spaces
Si prendono in considerazione particolari costanti relative alla struttura della sfera unitaria di uno spazio di Banach. Se ne studiano alcune generali proprietà, con particolare riferimento alle relazioni con il modulo di convessità dello spazio. Se ne fornisce inoltre una esatta valutazione negli spazi .
Absolutely (∞,p) summing and weakly-p-compact operators in Banach spaces.
A sequence (xn) in a Banach space X is said to be weakly-p-summable, 1 ≤ p < ∞, when for each x* ∈ X*, (x*xn) ∈ lp. We shall say that a sequence (xn) is weakly-p-convergent if for some x ∈ X, (xn - x) is weakly-p-summable.
Absolutely (∞,p) summing and weakly-p-compact operators in C(K).
In this note we review some results about:1. Representation of Absolutely (∞,p) summing operators (∏∞,p) in C(K,E)2. Dunford-Pettis properties.
Acción dual de las copias, isométricas asintóticamente, de lp (1 ≤ p < ∞) y c0.
Acknowledgement of priority: Separable quotients of Banach spaces.
In previous papers, it is proved, among other things, that every infinite dimensional sigma-Dedekind complete Banach lattice has a separable quotient. It has come to my attention that L. Weis proved this result without assuming sigma-Dedekind completeness; the proof is based, however, on the deep theorem of J. Hagler and W.B. Johnson concerning the structure of dual balls of Banach spaces and therefore cannot be applied simply to the case of locally convex solid topologically complete Riesz spaces....
Addendum to the paper "On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem"
Algebraic reflexivity of C(X,E) and Cambern's theorem
The algebraic and topological reflexivity of C(X) and C(X,E) are investigated by using representations for the into isometries due to Holsztyński and Cambern.
Algunos resultados sobre representabilidad finita de 1q (O < q ≤∞) en espacios p-Banach.
Almost isomeric embeddings of in pre-duals of von Neumann algebras.
Almost Weakly Compact Operators
Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.
An application of averaging operators to multilinearity.
An extension property for Banach spaces
A Banach space X has property (E) if every operator from X into c₀ extends to an operator from X** into c₀; X has property (L) if whenever K ⊆ X is limited in X**, then K is limited in X; X has property (G) if whenever K ⊆ X is Grothendieck in X**, then K is Grothendieck in X. In all of these, we consider X as canonically embedded in X**. We study these properties in connection with other geometric properties, such as the Phillips properties, the Gelfand-Phillips and weak Gelfand-Phillips properties,...
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Another approach to characterizations of generalized triangle inequalities in normed spaces
In this paper, we consider a generalized triangle inequality of the following type: where (X, ‖·‖) is a normed space, (µ1, ..., µn) ∈ ℝn and p > 0. By using ψ-direct sums of Banach spaces, we present another approach to characterizations of the above inequality which is given by [Dadipour F., Moslehian M.S., Rassias J.M., Takahasi S.-E., Nonlinear Anal., 2012, 75(2), 735–741].
Arbres dont toutes les branches sont faiblement Cauchy
Asymptotically isometric copies of c0 and l1 in quotients of Banach spaces.
Let X be a real Banach space that does not contain a copy of l1. Then X* contains asymptotically isometric copies of l1 if and only if X has a quotient which is asymptotically isometric to c0.