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We introduce the notion of projective generator on a given Banach space. Weakly countably determined and dual spaces with the Radon Nikodým property have projective generators. If a Banach space has projective generator, then it admits a projective resolution of the identity. When a Banach space and its dual both have a projective generator then the space admits a shrinking resolution of the identity. These results include previous ones of Amir and Lindenstrauss, John and Zizler, Gul?ko, Vaak, Tacon,...

Properties of intersection in the geometry of sequences in Banach spaces.

Felicísimo Garcia Castellón, Esteban Induráin (1985)

Collectanea Mathematica

p-trivial Banach spaces

J. Morrell, J. Retherford (1972)

Studia Mathematica

Quantitative unconditionality of Banach spaces E for which K(E) is an M-ideal in ℒ(E)

Daniel Li (1990)

Studia Mathematica

Quasi-reflexive Banach spaces

R. C. James (1975/1976)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Que sont les facteurs directs des espaces de Banach classiques ?

Marc Rogalski (1977)

Séminaire Choquet. Initiation à l'analyse

Quelques propriétés des opérateurs uniformément convexifiants

B. Beauzamy (1977)

Studia Mathematica

Quotients with a shrinking basis

Jorge Mujica (2012)

Studia Mathematica

We present a simple proof of a theorem that yields as a corollary a result of Valdivia that sharpens an old result of Johnson and Rosenthal.

Rademacher variables in connection with complex scalars.

Seigner, J.A. (1997)

Acta Mathematica Universitatis Comenianae. New Series

R-base dans les espaces $ℒ_{p}$ séparables (2≤p<∞)

C. Samuel (1988)

Colloquium Mathematicae

Reflexivität und Schauder Basen vom Typ P und P in lokalkonvexen Räumen.

Ulrich Mertins (1971)

Manuscripta mathematica

Regular methods of summability in some locally convex spaces

Costas Poulios (2009)

Commentationes Mathematicae Universitatis Carolinae

Suppose that $X$ is a Fréchet space, $〈 a_{i j} 〉$ is a regular method of summability and $(x_{i})$ is a bounded sequence in $X$ . We prove that there exists a subsequence $(y_{i})$ of $(x_{i})$ such that: either (a) all the subsequences of $(y_{i})$ are summable to a common limit with respect to $〈 a_{i j} 〉$ ; or (b) no subsequence of $(y_{i})$ is summable with respect to $〈 a_{i j} 〉$ . This result generalizes the Erdös-Magidor theorem which refers to summability of bounded sequences in Banach spaces. We also show that two analogous results for some $ω_{1}$ -locally convex spaces...

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Displaying 281 – 300 of 478

Primarité de $L^{P} (ℓ_{r}), 1 < p, r < \infty$

Produits tensoriels $g_{p}$ et $d_{p}$ , applications $p$ -sommantes, applications $p$ -radonifiantes

Projections de meilleure approximation continues dans certains espaces de Banach

Projections on Banach spaces with symmetric bases

Projetive generators and resolutions of identity in Banach spaces.

Properties of intersection in the geometry of sequences in Banach spaces.

p-trivial Banach spaces

Quantitative unconditionality of Banach spaces E for which K(E) is an M-ideal in ℒ(E)

Quasi-reflexive Banach spaces

Que sont les facteurs directs des espaces de Banach classiques ?

Quelques propriétés des opérateurs uniformément convexifiants

Quotients with a shrinking basis

Rademacher variables in connection with complex scalars.

R-base dans les espaces $ℒ_{p}$ séparables (2≤p<∞)

Reflexivität und Schauder Basen vom Typ P und P in lokalkonvexen Räumen.

Regular methods of summability in some locally convex spaces

Remark on our paper "On bases in Banach spaces" (Studia Math. 170 (2005), 147-171)

Remark on spline unconditional bases in $H^{1} (D)$

Resoluciones proyectivas del operador identidad y bases de Markushevich en ciertos espacios de Banach.

Resolutions of the identity in certain Banach spaces.

Currently displaying 281 – 300 of 478