Bases communes dans certains espaces de fonctions harmoniques et fonctions séparément harmoniques sur certains ensembles de
Bases in Sequence Spaces and Expansion of a Function in a Series of Power Series
Bases in the spaces and
Bases in weakly sequentially complete Banach spaces
Bases, suites lacunaires dans les espaces , d’après Kadec et Pelczynski
Bases, suites lacunaires dans les espaces , d’après Kadec et Pelczynski (suite et fin)
ℱ-bases with brackets and with individual brackets in Banach spaces
We provide a partial answer to the question of Vladimir Kadets whether given an ℱ-basis of a Banach space X, with respect to some filter ℱ ⊂ 𝒫(ℕ), the coordinate functionals are continuous. The answer is positive if the character of ℱ is less than 𝔭. In this case every ℱ-basis is an M-basis with brackets which are determined by an element of ℱ.
Bases y casirreflexividad en espacios de Banach.
Basic sequences and reflexivity of Banach spaces
Basic sequences and smooth norms in Banach spaces
Basis in the big disk algebra and in the corresponding Hardy-space.
Besov spaces on local fields
Best order conditions in linear spaces, with applications to limitation, inclusion and high indices theorems for ordinary and absolute Riesz means
Biholomorphic mappings and Banach function modules.
Biorthogonal systems in Banach spaces
We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite-dimensional Banach space has one of three types of biorthogonal systems.
Biorthogonal systems in certain Banach spaces.
Block sequences of strong M-bases in Banach spaces.
B-выпуклость и неустойчивость неполноты.
Calderón-Zygmund operators and unconditional bases of weighted Hardy spaces
We study sufficient conditions on the weight w, in terms of membership in the classes, for the spline wavelet systems to be unconditional bases of the weighted space . The main tool to obtain these results is a very simple theory of regular Calderón-Zygmund operators.
Cantor-Bernstein theorems for Orlicz sequence spaces
For two Banach spaces X and Y, we write if X embeds into Y and vice versa; then we say that X and Y have the same linear dimension. In this paper, we consider classes of Banach spaces with symmetric bases. We say that such a class ℱ has the Cantor-Bernstein property if for every X,Y ∈ ℱ the condition implies the respective bases (of X and Y) are equivalent, and hence the spaces X and Y are isomorphic. We prove (Theorems 3.1, 3.3, 3.5) that the class of Orlicz sequence spaces generated by regularly...