Las álgebras de Denjoy-Carleman analíticas.
Les -algèbres à idéaux premiers totalement ordonnés par inclusion sont de Fréchet
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner
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 Banach algebras as Henselian rings
Locally compact Baer rings.
Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras
Let be a locally A-pseudoconvex algebra over or . We define a new topology on which is the weakest among all m-pseudoconvex topologies on stronger than . We describe a family of non-homogeneous seminorms on which defines the topology .
Lusin sets and generalized spectra of topological algebras