Smoothness properties of functions in at certain boundary points.
Sobolev- und Sobolev-Hardy-Räume auf S1: Dualitätstheorie und Funktionalkalküle.
Sobre un álgebra de funciones casi analíticas.
Solution d'un problème d'Erdös, Gillman et Henriksen et application à l'étude des homomorphismes de C-(K).
Solving power series equations. II. Change of ground field
We study the effect of changing the residue field, on the topological properties of local algebra homomorphisms of analytic algebras (quotients of convergent power series rings). Although injectivity is not preserved, openness and closedness in the Krull topology, simple topology, and inductive topology is preserved.
Some absolutely continuous representations of function algebras.
Some algebraic and homological properties of Lipschitz algebras and their second duals
Let be a metric space and . We study homological properties and different types of amenability of Lipschitz algebras and their second duals. Precisely, we first provide some basic properties of Lipschitz algebras, which are important for metric geometry to know how metric properties are reflected in simple properties of Lipschitz functions. Then we show that all of these properties are equivalent to either uniform discreteness or finiteness of . Finally, some results concerning the character...
Some algebras without submultiplicative norms or positive functionals
We prove a conjecture of Yood regarding the nonexistence of submultiplicative norms on the algebra C(T) of all continuous functions on a topological space T which admits an unbounded continuous function. We also exhibit a quotient of C(T) which does not admit a nonzero positive linear functional. Finally, it is shown that the algebra L(X) of all linear operators on an infinite-dimensional vector space X admits no nonzero submultiplicative seminorm.
Some Applications of Convexity Theory to Banach Algebras.
Some conditions on Douglas algebras that imply the invariance of the minimal envelope map.
Some linear topological properties of the hardy spaces
Some problems on Suslin spaces and topological algebras
Some Properties of Compact Natural Sets in Several Complex Variables.
Some properties of endomorphisms of Lipschitz algebras
Some rationally convex sets
Some remarks about the three spaces problem in Banach algebras
Some remarks on derivations in Banach algebras and related results.
Some remarks on -algebras
We study Banach algebras that are quotients of uniform algebras and we show in particular that the class is stable by interpolation. We also show that , are algebras and that is a -algebra if and only if .
Some results about Beurling algebras with applications to operator theory
We prove that certain maximal ideals in Beurling algebras on the unit disc have approximate identities, and show the existence of functions with certain properties in these maximal ideals. We then use these results to prove that if T is a bounded operator on a Banach space X satisfying as n → ∞ for some β ≥ 0, then diverges for every x ∈ X such that .
Some Results about the Spectrum of Commutative Banach Algebras under the Weak Topology and Applications.