The structure of module derivations of into
The structure of polynomial ideals in the algebra of entire functions
The Theorem of Gleason-Kahane-Zelazko in a Commutative Symmetric Banach Algebra.
The three point pick problem on the bidisk.
The trace class is a -algebra.
The trace of finite and nuclear elements in Banach algebras
The Uniform Algebra Generated by z and a Smooth Even Function.
The weak Phillips property
Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.
Théorèmes de factorisation dans les algèbres normées complètes non associatives
Théorèmes de structure sur certaines algèbres m-convexes commutatives.
Nous donnons dans ce travail une caractérisation des algèbres (semi-simples) localement-convexes complètes faiblement topologisées au sens de S. Warner, ce qui clarifie, entre autres, plusiers résultats données sur certaines classes d'algèbres à base étudiées par de nombreux auteurs ([2], [6], [7]) pour approcher le problème de E. A. Michael sur la continuité des caractères dans les algèbres de Fréchet [9].
Theorems of Korovkin type for adapted spaces
It is shown that the methods developed in an earlier paper of the author about a Dirichlet problem for the Silov boundary [Annales Inst. Fourier, 11 (1961)] lead in a new and natural way to the most important results about the convergence of positive linear operators on spaces of continuous functions defined on a compact space. Choquet’s notion of an adapted space of continuous functions in connection with results of Mokobodzki-Sibony opens the possibility of extending these results to the case...
Thin sequences in the corona of H ∞
In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.
Three spectral notions for representations of commutative Banach algebras
Let be a bounded representation of a commutative Banach algebra . The following spectral sets are studied. : the Gelfand space of the quotient algebra . : the Gelfand space of the operator algebra . : those characters of for which the inequalities , , have a common solution , for any and any finite subset of . A theorem of Beurling on the spectrum of -functions and results of Slodkowski and Zelazko on joint topological divisors of zero appear as special cases of our theory by...
Toeplitz operators for a certain class of function algebras
Toeplitz operators for hypodirichlet algebras
Toeplitz Operators with Frequency Modulated Semi-Almost Periodic Symbols.
Topología grassmaniana sobre los ideales cerrados de codimensión finita de un álgebra de Banach conmutativa.
Topological Algebras of Functions of Bounded Variation I.
Topological Algebras of Functions of Bounded Variation II.
Topological algebras with an orthogonal total sequence
The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the “coefficient functionals”. Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence satisfying and for all n ∈ ℕ.