Differentialgleichungen in Jordantripelsystemen.
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].
Distributions homogènes sur une algèbre de Jordan
Dual coalgebras of Jordan bialgebras and superalgebras.
Dual pair G... x PGL2 G... is the automorphism group of the Jordan algebra.
Dual spaces of JB*-triples and the Radon-Nikodym property.
Eine Konstruktion von Lie-Algebren aus Jordan-Tripel-Systemen.
Éléments de la géométrie des octaves de Cayley
Erratum to: Derivation Algebras of JB-Algebras.
Estimations at infinity of Bessel functions associated to the representations of a Jordan algebra. (Estimations à l'infini des fonctions de Bessel associées aux représentations d'une algèbre de Jordan.)
Exceptional Jordan division algebras over a field with a discrete valuation.
Explicit Bernstein identities and singularities of generalized Riesz integrals. (Identités de Bernstein explicites et singularités des intégrales de Riesz généralisées.)
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)....
Finiteness conditions in Jordan pairs.
Formal-reelle Jordanalgebren unendlicher Dimension und verallgemeinerte Positivitätsbereiche.
Formes multiplicatives à valeurs dans le spectre
Free associative algebras, noncommutative Gröbner bases, and universal associative envelopes for nonassociative structures
First, we provide an introduction to the theory and algorithms for noncommutative Gröbner bases for ideals in free associative algebras. Second, we explain how to construct universal associative envelopes for nonassociative structures defined by multilinear operations. Third, we extend the work of Elgendy (2012) for nonassociative structures on the 2-dimensional simple associative triple system to the 4- and 6-dimensional systems.
Generalized projective geometries: General theory and equivalance with Jordan structures.
Generalized weights for operator Lie algebras