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.)
Harmonic functions operating in Hermitian Banach algebras.
The purpose of this paper is to introduce a harmonic functional calculus in order to generalize some extended versions of theorems of von Neumann, Heinz and Ky Fan.
Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.
Homomorphisms and derivations in -ternary algebras.
Ideal and representation theory of the -algebra of a group with polynomial growth
Integral Representations of Positive Linear forms
Invariant Weights on Semi-Finite von Neumann Algebras.
Involutions of Vector spaces and Algebras
Involutions on the second duals of group algebras versus subamenable groups
Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.
Isomorphisms of -triple systems
Jordan homomorphisms in proper JCQ-triples.
Korovkin theory in Banach -algebras
Korovkin theory in normed algebras
If A is a normed power-associative complex algebra such that the selfadjoint part is normally ordered with respect to some order, then the Korovkin closure (see the introduction for definitions) of T ∪ {t* ∘ t| t ∈ T} contains J*(T) for any subset T of A. This can be applied to C*-algebras, minimal norm ideals on a Hilbert space, and to H*-algebras. For bounded H*-algebras and dual C*-algebras there is even equality. This answers a question posed in [1].
Locally convex - 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...
Modular bases in a Hilbert -module
Monotone and convex -algebra valued functions.
Moufang H*-algebras.