An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and
An indecomposable Banach space of continuous functions which has small density
Using the method of forcing we construct a model for ZFC where CH does not hold and where there exists a connected compact topological space K of weight such that every operator on the Banach space of continuous functions on K is multiplication by a continuous function plus a weakly compact operator. In particular, the Banach space of continuous functions on K is indecomposable.
An isomorphic Banach-Stone theorem
Analytic classes on subframe and expanded disk and the s differential operator in polydisk.
Analytic solutions of -th order differential equations at a singular point.
Approximation in by solutions of quasi-elliptic equations.
Approximation of smooth functions and covering properties of sets
Approximation par des opérateurs compacts ou faiblement compacts à valeurs dans
Soient et . Il existe une application (non linéaire) normiquement continue de l’espace des opérateurs bornés de dans sur l’espace des opérateurs compacts (resp. faiblement compacts) de dans telle que coïncide avec la distance de au sous-espace formé des opérateurs compacts (resp. faiblement compacts). Pour un opérateur donné de dans on étudie les propriétés de l’ensemble (resp. ) des opérateurs compacts (resp. faiblement compacts) tel que pour tout de (resp. ) la quantité...
Approximation problems and representations of Hardy spaces in circular domains
We derive various approximation results in the theory of Hardy spaces on circular domains G. Two applications are given, one to operators which admit a nice representation of , and the other to extremal problems with links to the theory of differential equations.
Approximation properties and universal Banach spaces
Approximation theoretical properties of M-ideals (Abstract)
Arzela - Ascoli's Theorem for Riemann - Integrable Functions on Compact Spaces.
Automatic continuity of linear maps on spaces of continuous functions.
Automorphisms of C commuting with partial integration operators in a rectangle
Convolutional representations of the commutant of the partial integration operators in the space of continuous functions in a rectangle are found. Necessary and sufficient conditions are obtained for two types of representing functions, to be the operators in the commutant continuous automorphisms. It is shown that these conditions are equivalent to the requirement that the considered representing functions be joint cyclic elements of the partial integration operators.