Analytic Structure and Higher Derivations on Commutative Banach Algebras
Analytic Structure in the Spectra of Certain uF-Algebras.
Approximate identities in Banach function algebras
In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras. We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras. We shall describe a contractive Banach function algebra which is not equivalent to a uniform algebra....
Blaschke inductive limits of uniform algebras.
Boundaries for Natural Systems II.
Boundaries in inductive limit topological algebras.
Boundaries of weak peak points in noncommutative algebras of Lipschitz functions
It has been shown that any Banach algebra satisfying ‖f 2‖ = ‖f‖2 has a representation as an algebra of quaternion-valued continuous functions. Whereas some of the classical theory of algebras of continuous complex-valued functions extends immediately to algebras of quaternion-valued functions, similar work has not been done to analyze how the theory of algebras of complex-valued Lipschitz functions extends to algebras of quaternion-valued Lipschitz functions. Denote by Lip(X, ) the algebra over...
Calcul symbolique sur la frontière de Silov de certaines algèbres de fonctions holomorphes
On démontre un résultat de dichotomie pour les fonctions qui opèrent sur les restrictions d’algèbres de fonctions holomorphes de plusieurs variables. On obtient ce résultat après étude de la séparation par des fonctions holomorphes de compacts sur certaines hypersurfaces de .
Caractérisation des anneaux noethériens de séries formelles à croissance controlée. Application à la synthèse spectrale.
Given a subring of the ring of formal power series defined by the growth of the coefficients, we prove a necessary and sufficient condition for it to be a noetherian ring. As a particular case, we show that the ring of Gevrey power series is a noetherian ring. Then, we get a spectral synthesis theorem for some classes of ultradifferentiable functions.
Characterizing algebras of -functions on manifolds
Among all -algebras we characterize those which are algebras of -functions on second countable Hausdorff -manifolds.
Closed ideals of A+ and the Cantor set.
Closed ideals with countable hull in algebras of analytic functions smooth up to the boundary.
Compact Groups Operating on Banach Algebras.
Comparisions of ideal structures in algebras of analytic functions of several complex variables.
Concerning a problem of Arens on removable ideals in Banach algebras
Cyclic Extensions of Banach Algebras.
Die Lösung des nichtarchimedischen Corona-Problems für beliebige Dimension.
Differentially closed ideals in rings of analytic functions.
Distributions on Kronecker sets, strong forms of uniqueness, and closed ideals of A+.
Ditkin's Condition and Primary Ideals in Central Beurling Algebras.