Algebres à bases bornées.
Algebres A-convexes a poids.
Amenability for dual Banach algebras
We define a Banach algebra 𝔄 to be dual if 𝔄 = (𝔄⁎)* for a closed submodule 𝔄⁎ of 𝔄*. The class of dual Banach algebras includes all W*-algebras, but also all algebras M(G) for locally compact groups G, all algebras ℒ(E) for reflexive Banach spaces E, as well as all biduals of Arens regular Banach algebras. The general impression is that amenable, dual Banach algebras are rather the exception than the rule. We confirm this impression. We first show that under certain conditions an amenable...
Amenability properties of Fourier algebras and Fourier-Stieltjes algebras: a survey
Let G be a locally compact group, and let A(G) and B(G) denote its Fourier and Fourier-Stieltjes algebras. These algebras are dual objects of the group and measure algebras, and M(G), in a sense which generalizes the Pontryagin duality theorem on abelian groups. We wish to consider the amenability properties of A(G) and B(G) and compare them to such properties for and M(G). For us, “amenability properties” refers to amenability, weak amenability, and biflatness, as well as some properties which...
An approach to joint spectra
For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.
An embedding theorem for commutative -algebras
An example of a Fréchet algebra which is a principal ideal domain
We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
An example of a nonseparable Banach algebra without nonseparable commutative subalgebras
An example of a non-topologizable algebra
We present an example of an algebra that is generated by elements, and cannot be made a topological algebra. This answers a problem posed by W. Żelazko.
An m-convex B₀-algebra with all left but not all right ideals closed
We construct an example as announced in the title. We also indicate all right, left and two-sided ideals in this example.
Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups
Analytic semigroups in Banach algebras and a theorem of Hille
Analyticity of the Spectral Multi-Function in Topological Algebras
Se è un'applicazione olomorfa di un domìnio di in un'algebra topologica che gode di certe proprietà, si dimostra che la multifunzione «spettro» è analitica secondo Oka.
Annihilator topological algebras.
Antisymmetry and analytic structure in the spectrum of a uniform Frechet algebra.
Applications of the scarcity theorem in ordered Banach algebras
We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.
Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras
We study the structure of Lipschitz algebras under the notions of approximate biflatness and Johnson pseudo-contractibility. We show that for a compact metric space , the Lipschitz algebras and are approximately biflat if and only if is finite, provided that . We give a necessary and sufficient condition that a vector-valued Lipschitz algebras is Johnson pseudo-contractible. We also show that some triangular Banach algebras are not approximately biflat.
Approximate point joint spectra and multiplicative functionals
Arens regularity and local reflexivity principle for Banach algebras.
Arens Regularity of K (X).