Stable rank of holomorphic function algebras
Standard ideals in convolution Sobolev algebras on the half-line
We study the relation between standard ideals of the convolution Sobolev algebra and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in with compact and countable hull are standard.
Sur les compacte d’interpolation du spectre de
Sur une classe d'algèbre de fonctions généralisées application aux systèmes différentiels
Synthèse et algèbre de multiplicateurs de
Soit , l’espace de Banach des fonctions continues sur qui sont parties réelles de fonctions de l’algèbre du disque . On étudie les ensembles de de synthèse pour et l’algèbre des multiplicateurs de . On en déduit des théorèmes d’approximation dans par des produits de Blaschke.
Synthèse spectrale dans les algèbres de Sobolev non isotropes
Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.
The analytic -capacity and the Cauchy integral
The Banach space H...(X, d, ...).I.
The Banach space H...(X, d, ...).II.
The Bourgain algebra of the disk algebra A(𝔻) and the algebra QA
It is shown that the Bourgain algebra of the disk algebra A() with respect to is the algebra generated by the Blaschke products having only a finite number of singularities. It is also proved that, with respect to , the algebra QA of bounded analytic functions of vanishing mean oscillation is invariant under the Bourgain map as is .
The differential equation y' = fy in the algebras H(D).
The dual of the Bergman space defined on a hyperbolic plane domain.
The Dunford-Pettis property for the ball-algebras, the polydisc-algebras and the Sobolev spaces
The exceptional sets for functions of the Bergman space in the unit ball
Let be a domain in . Given , set . If is a holomorphic and square-integrable function in , then the set of all such that is not square-integrable in has measure zero. We call this set the exceptional set for . In this Note we prove that whenever there exists a holomorphic square-integrable function in the unit ball in such that is the circle .
The Fréchet envelopes of vector-valued Smirnov classes
The generalized corona theorem.
The Gleason-Kahane-Zelazko theorem and function algebras
A theorem due to A. Gleason, J.-P. Kahane and W. Zelazko characterizes continuous characters within the space of all continuous linear forms of a locally multiplicatively convex, sequentially complete algebra. The present paper applies these results to investigate linear isometries of Banach algebras (with particular attention to normal uniform algebras) and of some locally multiplicatively convex algebras. The locally multiplicatively convex algebra of all holomorphic functions on a domain, will...
The metric space , 0
The non-archimedean Corona problem