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.
Segal algebras, approximate identities and norm irregularity in C₀(X,A)
We study three closely related concepts in the context of the Banach algebra C₀(X,A). We show that, to a certain extent, Segal extensions, norm irregularity and the existence of approximate identities in C₀(X,A) can be deduced from the corresponding features of A and vice versa. Extensive use is made of the multiplier norm and the tensor product representation of C₀(X,A).
Semidirect products of locally convex algbras and the three-space-problem.
Semigroup algebras having regular multiplication
Semigroups and resolvents of bounded variation, imaginary powers and H°° functional calculus.
Semi-normes multiplicatives sur une algèbre de Banach ultramétrique
Semi-simplicity of a proper weak -algebra.
Semi-simplicity of some semi-prime Banach algebras.
Sequentially m-barrelled algebras.
Sesquilinear and Quadratic Forms on Modules Over *-algebras
Several variable spectral theory in the noncommutative case
Sheaves of metric lattices
Short Proofs of Some Structure Theorems on m-Convex Algebras
Singuläre Integraloperatoren inLp-Räumen.
Small deformations of topological algebras
We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
Smoothness of Locally Multiplicatively Convex Algebras a Gel΄ Fand-Mazur Theorem