Renormage de certains espaces d'operateurs.
Report on twisted sums of Banach spaces.
This note is to report some of the advances obtained as a follow-up of the book [2] on the topic of twisted sums of Banach spaces. Since this announcement is no longer enough to contain the theory being developed, we submit the interested reader to [2] and to [1], where full details and proofs shall appear.
Représentation fonctionnelle des espaces vectoriels toplogiques
Représentation intégrale dans des sous-espaces de fonctions à valeurs vectorielles
Representation of sheaves of metric lattices by sections
Representation theory of locally -convex topological algebras
Représentations d'applications linéaires par des noyaux généralisés
Representations of tensor product L.M.C.*-Algebras 1.
Reproductibilité de l... dans les produits tensoriels.
Resolution of the cohomology comparison problem for amenable Banach algebras.
Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires
L’auteur donne un résumé des résultats essentiels de son travail “Produits tensoriels topologiques et espaces nucléaires” (à paraître dans Memoirs of the Am. Math. Soc.), en essayant de faire ressortir les idées directrices. Soient et deux espaces localement convexes, on définit d’abord deux topologies naturelles sur , qui donnent des complétés et , qu’on explicite dans divers cas importants, et dont on élucide les propriétés algébrico-topologiques, notamment à l’égard de la notion de produit...
Rml;ume holomorpher Vektorfunktionen mit Wachstumsbedingungen und topologische Tensorprodukte.
Rosenthal sets that cannot be sup-norm partitioned and an application to tensor products
Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.
Sectional representation of Banach modules and their multipliers.
Semicontinuity of the Face-Function of a Covex Set
Semi-embeddings and weakly sequential completeness of the projective tensor product
We show that if is a boundedly complete, unconditional Schauder decomposition of a Banach space X, then X is weakly sequentially complete whenever is weakly sequentially complete for each k ∈ ℕ. Then through semi-embeddings, we give a new proof of Lewis’s result: if one of Banach spaces X and Y has an unconditional basis, then X ⊗̂ Y, the projective tensor product of X and Y, is weakly sequentially complete whenever both X and Y are weakly sequentially complete.
Separable injectivity and tensor products.
Separated Totally Convex Spaces.
Sequential retractivities and regularity on inductive limits
In this paper we prove the following result: an inductive limit is regular if and only if for each Mackey null sequence in there exists such that is contained and bounded in . From this we obtain a number of equivalent descriptions of regularity.