Isomorphismes entre espaces
Isomorphisms of AC(σ) spaces
Analogues of the classical Banach-Stone theorem for spaces of continuous functions are studied in the context of the spaces of absolutely continuous functions introduced by Ashton and Doust. We show that if AC(σ₁) is algebra isomorphic to AC(σ₂) then σ₁ is homeomorphic to σ₂. The converse however is false. In a positive direction we show that the converse implication does hold if the sets σ₁ and σ₂ are confined to a restricted collection of compact sets, such as the set of all simple polygons.
Iterates and the boundary behavior of the Berezin transform
Let be a measure on a domain in such that the Bergman space of holomorphic functions in possesses a reproducing kernel and . The Berezin transform associated to is the integral...
Joint spectra
Jointly prescalar sets in Banach algebras
Kommutative Banachalgebren und hermitesch-äquivalente Elemente
Korovkinhüllen in Funktionenräumen.
Köthe coechelon spaces as locally convex algebras
We study those Köthe coechelon sequence spaces , 1 ≤ p ≤ ∞ or p = 0, which are locally convex (Riesz) algebras for pointwise multiplication. We characterize in terms of the matrix V = (vₙ)ₙ when an algebra is unital, locally m-convex, a -algebra, has a continuous (quasi)-inverse, all entire functions act on it or some transcendental entire functions act on it. It is proved that all multiplicative functionals are continuous and a precise description of all regular and all degenerate maximal ideals...
La conjecture de la couronne en analyse complexe et p-adique
La dualité et ses applications, d’après Ch. Feffermann et E. M. Stein
La presque-périodicité et les coalgèbres injectives
La propriété de Stone-Weierstrass dans les algèbres tensorielles
Large analytic functions III
Las álgebras de Denjoy-Carleman analíticas.
Le dual de l'espace des fonctions holomorphes intégrables dans des domaines de Siegel
Nous répondons à une conjecture de R. Coifman et R. Rochberg : dans le complexifié du cône sphérique de , le dual de la classe de Bergman s’obtient comme projection de Bergman de et coïncide avec la classe de Bloch des fonctions holomorphes. Nous examinons également le cas d’un produit de domaines.
L'enveloppe locale des perturbations d'une union de plans totalement réels qui se coupent en une droite réelle.
In this note by using techniques similar to that of [2] and [3], we study the local polynomial convexity of perturbation of union of two totally real planes meeting along a real line.
Les algèbres de Krasner-Tate
Les algèbres de Krasner-Tate
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner.
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner