The Strong Topology on the Dual Space of a Summability Field and the Mu-Continuity Problem.
The strong unicity constant and its applications
In this report we discuss the applications of the strong unicity constant and highlight its use in the minimal projection problem.
The strong unicity constant for projections.
The strong WCD property for Banach spaces.
The strongest vector space topology is locally convex on separable linear subspaces
Let X be a real or complex vector space equipped with the strongest vector space topology . Besides the result announced in the title we prove that X is uncountable-dimensional if and only if it is not locally pseudoconvex.
The structure of a class of Banach algebras generated by a Banach space
The structure of a subclass of amenable Banach algebras.
The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ()
The structure of higher-dimensional noncommutative tori and metric diophantine approximation.
The structure of homomorphisms from Banach algebras of differentiable functions into finite dimensional Banach algebras.
The structure of ideals in the Banach algebra of Lipschitz functions over valued fields
The structure of L-ideals of measure algebras. II
The structure of L-ideals of measures algebras
The structure of Lindenstrauss-Pełczyński spaces
Lindenstrauss-Pełczyński (for short ℒ) spaces were introduced by these authors [Studia Math. 174 (2006)] as those Banach spaces X such that every operator from a subspace of c₀ into X can be extended to the whole c₀. Here we obtain the following structure theorem: a separable Banach space X is an ℒ-space if and only if every subspace of c₀ is placed in X in a unique position, up to automorphisms of X. This, in combination with a result of Kalton [New York J. Math. 13 (2007)], provides a negative...
The structure of module derivations of into
The structure of multiplication and addition in simple C*-algebras.
The structure of nonseparable Banach spaces with uncountable unconditional bases.
Sea X un espacio de Banach con una base incondicional de Schauder no numerable, y sea Y un subespacio arbitrario no separable de X. Si X no contiene una copia isomorfa de l1(J) con J no numerable entonces (1) la densidad de Y y la débil*-densidad de Y* son iguales, y (2) la bola unidad de X* es débil* sucesionalmente compacta. Además, (1) implica que Y contiene subconjuntos grandes formados por elementos disjuntos dos a dos, y una propiedad similar se verifica para las bases incondicionales no numerables...
The structure of polynomial ideals in the algebra of entire functions
The structure of quasiasymptotics of Schwartz distributions
In this article complete characterizations of the quasiasymptotic behavior of Schwartz distributions are presented by means of structural theorems. The cases at infinity and the origin are both analyzed. Special attention is paid to quasiasymptotics of degree -1. It is shown how the structural theorem can be used to study Cesàro and Abel summability of trigonometric series and integrals. Further properties of quasiasymptotics at infinity are discussed. A condition for test functions in bigger spaces...
The Structure of the Crossed Product C*-Algebras: A Proof of the Generalized Effros-Hahn Conjecture.