On projections in H¹ and BMO
On Schwartz's C-spaces and Orlicz's O-spaces
On some convexity properties of Musielak-Orlicz spaces
On some geometric properties of certain Köthe sequence spaces
It is proved that if a Kothe sequence space is monotone complete and has the weakly convergent sequence coefficient WCS, then is order continuous. It is shown that a weakly sequentially complete Kothe sequence space is compactly locally uniformly rotund if and only if the norm in is equi-absolutely continuous. The dual of the product space of a sequence of Banach spaces , which is built by using an Orlicz function satisfying the -condition, is computed isometrically (i.e. the exact...
On spreading -sequences in Banach spaces
We introduce and study the spreading-(s) and the spreading-(u) property of a Banach space and their relations. A space has the spreading-(s) property if every normalized weakly null sequence has a subsequence with a spreading model equivalent to the usual basis of ; while it has the spreading-(u) property if every weak Cauchy and non-weakly convergent sequence has a convex block subsequence with a spreading model equivalent to the summing basis of . The main results proved are the following: (a)...
On spreading models in
On Stefan Banach and some of his results.
On subspaces of H¹ isomorphic to H¹
On subspaces of L1 which embed into ...1.
On suprabarrelledness of c0 (Ω, X).
Si Ω es un conjunto no vacío y X es un espacio normado real o complejo, se tiene que, con la norma supremo, el espacio c0 (Ω, X) formado por las funciones f : Ω → X tales que para cada ε > 0 el conjunto {ω ∈ Ω : || f(ω) || > ε} es finito es supratonelado si y sólo si X es supratonelado.
On the class of b-L-weakly and order M-weakly compact operators
In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
On the classes of hereditarily Banach spaces
Let denote a specific space of the class of Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily Banach spaces. We show that for the Banach space contains asymptotically isometric copies of . It is known that any member of the class is a dual space. We show that the predual of contains isometric copies of where . For it is known that the predual of the Banach space contains asymptotically isometric copies of . Here we...
On the denseness of Jacobi polynomials.
On the differentiation of convex functions
On the Dunford-Pettis property of tensor product spaces
We give sufficient conditions on Banach spaces E and F so that their projective tensor product and the duals of their projective and injective tensor products do not have the Dunford-Pettis property. We prove that if E* does not have the Schur property, F is infinite-dimensional, and every operator T:E* → F** is completely continuous, then does not have the DPP. We also prove that if E* does not have the Schur property, F is infinite-dimensional, and every operator T: F** → E* is completely...
On the extremal points of the closed unit balls in some abstract spaces
On the John-Strömberg-Torchinsky Characterizstion of BMO.
On the LURWC property of Orlicz sequence space.
Necessary and sufficient conditions for URWC points and LURWC property are given in Orlicz sequence space lM.
On the non- and locally uniformly non- properties, and copies in Musielak-Orlicz spaces
On the positive projection constant