Derivatons of Jordan C*-algebras.
Embeddings of separable Banach star algebras into a Banach star algebra with one generator.
Exponentiating derivations of quasi -algebras: possible approaches and applications.
Extension d'un théorème de von Neumann dans les a*-algèbres.
Extreme positive operators on involution algebras
Fully representable and *-semisimple topological partial *-algebras
We continue our study of topological partial *-algebras, focusing our attention on *-semisimple partial *-algebras, that is, those that possess a multiplication core and sufficiently many *-representations. We discuss the respective roles of invariant positive sesquilinear (ips) forms and representable continuous linear functionals, and focus on the case where the two notions are completely interchangeable (fully representable partial *-algebras) with the aim of characterizing a *-semisimple partial...
Functional calculus and spectral theory of locally C*-sums of locally m-convex C*-algebras
Generalization of the Shirali-Ford theorem in Hermitian locally multiplicatively convex algebras
Harmonic functional calculus in a quotient involutive Banach algebra. (Calcul fonctionnel harmonique dans une algèbre de Banach involutive quotient.)
Integral Representations of Positive Linear forms
Involutions of Vector spaces and Algebras
Maximal abelian subalgebras and projections in two Banach algebras associated with a topological dynamical system
If Σ = (X,σ) is a topological dynamical system, where X is a compact Hausdorff space and σ is a homeomorphism of X, then a crossed product Banach *-algebra ℓ¹(Σ) is naturally associated with these data. If X consists of one point, then ℓ¹(Σ) is the group algebra of the integers. The commutant C(X)₁' of C(X) in ℓ¹(Σ) is known to be a maximal abelian subalgebra which has non-zero intersection with each non-zero closed ideal, and the same holds for the commutant C(X)'⁎ of C(X) in C*(Σ), the enveloping...
Non-normal elements in Banach *-algebras
Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.
Normal cones and --convex structure
The notion of normal cones is used to characterize --convex algebras among unital, symmetric and complete -convex algebras.
Normed algebras with involution.
On Banach *-algebras without the unit
On ideals and quotients of Hermitian algebras
On Jordan *-derivations and an application
On Making Involutive vector spaces into Topological *-Algebras
On the equivalence of Hermitian inner products on topological *-algebras.