On the structure of G-spaces
Banach spaces in which all multilinear forms are weakly sequentially continuous
We solve several problems in the theory of polynomials in Banach spaces. (i) There exist Banach spaces without the Dunford-Pettis property and without upper p-estimates in which all multilinear forms are weakly sequentially continuous: some Lorentz sequence spaces, their natural preduals and, most notably, the dual of Schreier's space. (ii) There exist Banach spaces X without the Dunford-Pettis property such that all multilinear forms on X and X* are weakly sequentially continuous; this gives an...
Factorization of entropy ideals: proportional case
An internal characterization of G-spaces
On ∆-stable Schwartz spaces.
Approximation properties defined by operator ideals
Snarked sums of Banach spaces.
Extraction of subsequences in Banach spaces.
Banach spaces, à la recherche du temps perdu.
What follows is the opening conference of the late night seminar at the III Conference on Banach Spaces held at Jarandilla de la Vera, Cáceres. Maybe the reader should not take everything what follows too seriously: after all, it was designed for a friendly seminar, late in the night, talking about things around a table shared by whisky, preprints and almonds. Maybe the reader should not completely discard it. Be as it may, it seems to me by now that everything arrives in the nick of time. ...
On Grothendieck space ideals
On Banach spaces X such that L(Lp,X) = K(Lp,X).
On the structure of G-spaces
On Grothendieck space ideals.
The internal structure of some spaces.
Some embeddings for phi.
The sum problem for Hilbert spaces
On the compactness of the natural tensor product of compact operators.
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.
Proportional factorization of entropy ideals.
Absolutely (∞,p) summing and weakly-p-compact operators in Banach spaces.
A sequence (x) in a Banach space X is said to be weakly-p-summable, 1 ≤ p < ∞, when for each x* ∈ X*, (x*x) ∈ l. We shall say that a sequence (x) is weakly-p-convergent if for some x ∈ X, (x - x) is weakly-p-summable.
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