Complete polynomial vector fields in a ball.
Complex borel structure in JC-algebras.
Conditional Expectation and Bicontractive Projections on Jordan C*-algebras and Their Generalizations.
Contracctive projections on operator triple systems.
Contractive projections on Jordan C*-algebras and generalizations.
Convex combinations of unitaries in -algebras.
Decoherence in pre-symmetric spaces.
Decomposition of Positive Projections on C*-Algebras.
Derivation Algebras of JB-Algebras.
Derivations on Jordan-Banach algebras
We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.
Derivatons of Jordan C*-algebras.
Distinguishing Jordan polynomials by means of a single Jordan-algebra norm
For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on . This analytic determination of Jordan polynomials improves the one recently obtained in [5].
Dual spaces of JB*-triples and the Radon-Nikodym property.
Erratum to: Derivation Algebras of JB-Algebras.
Extension d'un Théorème de Harte et Applications aux Algèbres de Jordan-Banach.
Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples
In recent papers, the Right and the Strong* topologies have been introduced and studied on general Banach spaces. We characterize different types of continuity for multilinear operators (joint, uniform, etc.) with respect to the above topologies. We also study the relations between them. Finally, in the last section, we relate the joint Strong*-to-norm continuity of a multilinear operator T defined on C*-algebras (respectively, JB*-triples) to C*-summability (respectively, JB*-triple-summability)....
Formes multiplicatives à valeurs dans le spectre
Generalized weights for operator Lie algebras
Holomorphic automorphisms and collective compactness in J*-algebras of operator
Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball in a J*-algebra of operators. Let be the family of all collectively compact subsets W contained in . We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when is a Cartan factor.
Isometries of JB-algebras.