Primarite de lp (L1).
Primarité des produits d'espaces de suites
Problems on Banach spaces
Procédé de convergence minimale dans les espaces de Banach. Une loi des grands nombres et un théorème ergodique
Processus et espaces de Banach invariants par réarrangement
Product spaces generated by bilinear maps and duality
In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise...
Products of Lipschitz-free spaces and applications
We show that, given a Banach space X, the Lipschitz-free space over X, denoted by ℱ(X), is isomorphic to . Some applications are presented, including a nonlinear version of Pełczyński’s decomposition method for Lipschitz-free spaces and the identification up to isomorphism between ℱ(ℝⁿ) and the Lipschitz-free space over any compact metric space which is locally bi-Lipschitz embeddable into ℝⁿ and which contains a subset that is Lipschitz equivalent to the unit ball of ℝⁿ. We also show that ℱ(M)...
Produits tensoriels d'espaces de Banach et classes d'applications linéaires
Produits tensoriels et , applications -sommantes, applications -radonifiantes
Produits tensoriels injectifs d'espaces de Sidon
Projections contractantes dans
Projections contractantes dans les espaces de Banach
Projections de meilleure approximation continues dans certains espaces de Banach
Projections from a von Neumann algebra onto a subalgebra
Projections from onto
Generalization of certain results in [Sap] and simplification of the proofs are given. We observe e.g.: Let and be Banach spaces such that is weakly compactly generated Asplund space and has the approximation property (respectively is weakly compactly generated Asplund space and has the approximation property). Suppose that and let . Then (respectively ) can be equivalently renormed so that any projection of onto has the sup-norm greater or equal to .
Projections in dual weakly compactly generated Banach spaces
Projections on Banach spaces with symmetric bases
Projections onto the spaces of Toeplitz operators
Projections onto the spaces of all Toeplitz operators on the N-torus and the unit sphere are constructed. The constructions are also extended to generalized Toeplitz operators and applied to show hyperreflexivity results.
Projections, skewness and related constants in real normed spaces.
Projetive generators and resolutions of identity in Banach spaces.
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,...