Minimal Topological Algebras.
Multipliers of JS-Algebras.
Norm-decreasing isomorphism on hermitian elements and the group of isometric and invertible multipliers of a Banach algebra
On derivations and crossed homomorphisms
We discuss some results about derivations and crossed homomorphisms arising in the context of locally compact groups and their group algebras, in particular, L¹(G), the von Neumann algebra VN(G) and actions of G on related algebras. We answer a question of Dales, Ghahramani, Grønbæk, showing that L¹(G) is always permanently weakly amenable. Then we show that for some classes of groups (e.g. IN-groups) the homology of L¹(G) with coefficients in VN(G) is trivial. But this is no longer true, in general,...
On multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems
Multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems are obtained.
On the abstract theorem of Picard.
On the spectral radius in locally multiplicatively convex topological algebras
Positive projections and Jordan structure in operator algebras.
Properties of derivations on some convolution algebras
For all convolution algebras L 1[0, 1); L loc1 and A(ω) = ∩n L 1(ωn), the derivations are of the form D μ f = Xf * μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show that the extension of D μ to a natural dual space is weak-star continuous.
Propriétés analytiques du spèctre dans les algèbres de Jordan-Banach.
Propriétés spectrales en analyse non archimédienne
Quelques propriétés des éléments et fonctions analytiques au sens de Krasner
Rapport sur le prolongement analytique dans les corps values complets par la méthode des éléments analytiques quasi-connexes
Remarks on Banach- -algebras. (Remarques sur les -algèbres de Banach.)
Schatten's theorems on functionally defined Schur algebras.
Semigroup algebras having regular multiplication
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 .
Spectral radius and seminorms in finite-dimensional algebras. II
Spectral study of holomorphic functions with bounded growth
This paper studies properties of a large class of algebras of holomorphic functions with bounded growth in several complex variables.The main result is useful in the applications. Using the symbolic calculus of L. Waelbroeck, it gives for instance a theorem of the “Nullstellensatz” type and approximation theorems.
Spectral theory for facially homogenous symmetric self-dual cones.