Divisibility Structure and Finitely Generated Ideals in the Disc Algebra.
Ensembles de non synthèse pour certains poids dissymétriques sur la droite
Essential function algebras with large Silov boundary.
Extension of algebra norms and applications
Extensions of topological algebras.
Extremal units in an archimedean Riesz space
Extreme Boundaries and continous affine functions.
Extreme spectral states and multiplicative extensions in Banach algebras
Extreme Spectral States of Commutative Banach Algebras.
Facial Structure of the Sum of Two Compact Convex Sets.
Finiteness properties of topological algebras, I
Fonctions arithmétiques [Book]
Forme algébrique des théories de Stone-Gel'fand
Formes positives dans les -algèbres
Frontière-module et représentation intégrale
Function algebras on the interval and circle
Generalization of the topological algebra
We study subalgebras of equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.
Generalized weak peripheral multiplicativity in algebras of Lipschitz functions
Let (X, d X) and (Y,d Y) be pointed compact metric spaces with distinguished base points e X and e Y. The Banach algebra of all -valued Lipschitz functions on X - where is either‒or ℝ - that map the base point e X to 0 is denoted by Lip0(X). The peripheral range of a function f ∈ Lip0(X) is the set Ranµ(f) = f(x): |f(x)| = ‖f‖∞ of range values of maximum modulus. We prove that if T 1, T 2: Lip0(X) → Lip0(Y) and S 1, S 2: Lip0(X) → Lip0(X) are surjective mappings such that for all f, g ∈ Lip0(X),...
Generators of maximal left ideals in Banach algebras
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over ℂ whenever all the closed ideals in the algebra are (algebraically) finitely generated. In 1974, Sinclair and Tullo obtained a non-commutative version of this result. In 1978, Ferreira and Tomassini improved the result of Grauert and Remmert by showing that the statement...
Harmonic extensions and the Böttcher-Silbermann conjecture
We present counterexamples to a conjecture of Böttcher and Silbermann on the asymptotic multiplicity of the Poisson kernel of the space and discuss conditions under which the Poisson kernel is asymptotically multiplicative.