Saturation on Locally Compact Abelian Groups.
Second duals of measure algebras [Book]
Semigroup algebras having regular multiplication
Semilattices which must contain a copy of 2 N.
Sidon sets and Fourier-Stieltjes transforms of some prime L-ideals.
Some aspects of abstract harmonic analysis.
Some notions of amenability for certain products of Banach algebras
For two Banach algebras and ℬ, an interesting product , called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.
Spectral extension and power independence in measure algebras
Spectres joints et prolongement des caractères
Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups
Let A be a semisimple commutative regular tauberian Banach algebra with spectrum . In this paper, we study the norm spectra of elements of and present some applications. In particular, we characterize the discreteness of in terms of norm spectra. The algebra A is said to have property (S) if, for all , φ has a nonempty norm spectrum. For a locally compact group G, let denote the C*-algebra generated by left translation operators on and denote the discrete group G. We prove that the Fourier...
Sur le comportement asymptotique des puissances de convolution d'une probabilité
Sur les mesures quasi-idempotentes et la fermeture de
Sur un problème de I. Glicksberg : les idéaux fermés de type fini de
Soit , algèbre de convolution des mesures de Radon bornées sur le groupe abélien localement compact . Pour que soit fermé dans (ou, ce qui revient au même, pour que soit fermé), il faut et il suffit que soit la convolution d’une mesure inversible et d’une mesure idempotente.