Isometries of JB-algebras.
Isomorphisms of Hilbert C*-modules and *-isomorphisms of related operator C*-algebras.
Isomorphisms of Jordan-Banach algebras.
Iteration of Analytic Functions of Operators.
JB algebras with an exceptional ideal.
Joint spectra and multiplicative functionals
Joint spectra of generators in topological algebras.
Jointly prescalar sets in Banach algebras
Jordan Axioms for C*-Algebras.
Jordan polynomials can be analytically recognized
We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.
Korovkin theory in liminal JB-algebras.
Las álgebras de Denjoy-Carleman analíticas.
Le théorème des zéros pour les idéaux de fonctions différentiables en dimension 2 et 3
On caractérise, à l’aide de la notion algébrique d’idéal réel, les idéaux fermés de type fini de l’anneau des fonctions différentiables sur ayant la propriété des zéros, et les idéaux fermés principaux de ayant la propriété des zéros.
Les -algèbres à idéaux premiers totalement ordonnés par inclusion sont de Fréchet
Les endomorphismes d'algèbre à poids
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner
Lie triple ideals and Lie triple epimorphisms on Jordan and Jordan-Banach algebras
A linear subspace M of a Jordan algebra J is said to be a Lie triple ideal of J if [M,J,J] ⊆ M, where [·,·,·] denotes the associator. We show that every Lie triple ideal M of a nondegenerate Jordan algebra J is either contained in the center of J or contains the nonzero Lie triple ideal [U,J,J], where U is the ideal of J generated by [M,M,M]. Let H be a Jordan algebra, let J be a prime nondegenerate Jordan algebra with extended centroid C and unital central closure Ĵ, and let...
Linear maps preserving the generalized spectrum.
Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For an operator T in B(H), let σg(T) denote the generalized spectrum of T. In this paper, we prove that if φ: B(H) → B(H) is a surjective linear map, then φ preserves the generalized spectrum (i.e. σg(φ(T)) = σg(T) for every T ∈ B(H)) if and only if there is A ∈ B(H) invertible such that either φ(T) = ATA-1 for every T ∈ B(H), or φ(T) = ATtrA-1 for every T ∈ B(H). Also, we...
Local algebras and the largest spectrum finite ideal.
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra coincides with the largest algebraic ideal. Later M. Benslimane, A. Kaidi and O. Jaa showed [3] the equality between the socle and the largest spectrum finite ideal in semiprimitive alternative Banach complex algebras. In fact, they showed that every spectrum finite one-sided ideal of a semiprimitive alternative Banach complex algebra is contained in the socle. In this note a new proof is given of...
Local Banach algebras as Henselian rings