Remarks on Banach- -algebras. (Remarques sur les -algèbres de Banach.)
Remarks on quasicentral approximate identities.
Remarks on Segal Algebras.
Renormalizations of Banach and locally convex algebras
Report on K-theory for convenient algebras. II.
Representation of locally convex algebras.
We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
Representation of sheaves of metric lattices by sections
Representation theory of locally -convex topological algebras
Representations of bornological algebras.
Representations of tensor product L.M.C.*-Algebras 1.
Representations of topological algebras by projective limits.
Representative subalgebra of a complete ultrametric Hopf algebra
Resolution of the cohomology comparison problem for amenable Banach algebras.
Results on Banach ideals and spaces of multipliers.
Riesz Theory in Banach Algebras.
Schatten's theorems on functionally defined Schur algebras.
Schur class operator functions and automorphisms of Hardy algebras.
Schur Lemma and the Spectral Mapping Formula
Let B be a complex topological unital algebra. The left joint spectrum of a set S ⊂ B is defined by the formula = generates a proper left idealUsing the Schur lemma and the Gelfand-Mazur theorem we prove that has the spectral mapping property for sets S of pairwise commuting elements if (i) B is an m-convex algebra with all maximal left ideals closed, or (ii) B is a locally convex Waelbroeck algebra. The right ideal version of this result is also valid.
Sectional Representation of Banach Modules.
Sectional representation of Banach modules and their multipliers.