Calcul fonctionnel holomorphe dans les algèbres de Banach ultramétriques
Central decompositions for compact convex sets
Characterizations of amenable representations of compact groups
Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.
Cohomology theory on non commutative algebras of continuous functions
Compact failure of multiplicativity for linear maps between Banach algebras.
Complemented subalgebras of the Baire-1 functions defined on the interval .
Comportement local des fonctions continues sur un compact régulier d'un corps local
Concerning the Banach-Stone theorem
Continuité des caractères des algèbres localement multiplicativement convexes
Continuity of derivations from radical convolution algebras
Continuity versus boundedness of the spectral factorization mapping
This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping 𝔖 is continuous or bounded. It is shown that 𝔖 is continuous if and only if the Riesz projection is bounded on the algebra, and that 𝔖 is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, 𝔖 can never be both continuous and bounded, on any algebra under consideration.