Some remarks about the three spaces problem in Banach algebras
Some remarks on derivations in Banach algebras and related results.
Some remarks on the surjectivity spectrum of linear operators
Some results about Banach compact algebras
Some simple proofs in holomorphic spectral theory
This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.
Some uses of subharmonicity in functional analysis
Spatial numerical ranges of elements of Banach algebras.
Spatiality of derivations of Fréchet GB*-algebras
We show that every continuous derivation of a countably dominated Fréchet GB*-algebra A is spatial whenever A is additionally an AO*-algebra.
Spectral and boundedness radii in locally convex algebras.
Spectral characterizations of central elements in Banach algebras
Let A be a complex unital Banach algebra. We characterize elements belonging to Γ(A), the set of elements central modulo the radical. Our result extends and unifies several known characterizations of elements in Γ(A).
Spectral radius characterization of commutativity in Banach algebras
Spectral Theory of Generalized Endomorpisms I
Spectres d’algèbres de Banach -adiques
Spectrum of generators of a noncommutative Banach algebra
Square roots and quasi-square roots in locally multiplicatively convex algebras
Square roots of elements with an unbounded spectrum
Stability of multipliers on Banach algebras.
Stable inverse-limit sequences, with application to Predict algebras
The notion of a stable inverse-limit sequence is introduced. It provides a sufficient (and, for sequences of abelian groups, necessary) condition for the preservation of exactness by the inverse-limit functor. Examples of stable sequences are provided through the abstract Mittag-Leffler theorem; the results are applied in the theory of Fréchet algebras.
Stably flat completions of universal enveloping algebras [Book]
Strict topologies as topological algebras
Let be a completely regular Hausdorff space, the space of all scalar-valued bounded continuous functions on with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally -convex.