Sulla interpolazione di operatori compatti
Sur la reproductibilite des espaces l...
Sur les algèbres de Banach et les opérateurs -sommants
Sur les travaux de Birman-Entina concernant les perturbations des opérateurs auto-adjoints par des opérateurs de classe trace
Sur quelques extensions au cadre banachique de la notion d'opérateur de Hilbert-Schmidt
In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert-Schmidt operator: p-summing operators, γ-summing or γ-radonifying operators, weakly* 1-nuclear operators and classes of operators defined via factorization properties. We introduce the class PS₂(E;F) of pre-Hilbert-Schmidt operators as the class of all operators u: E → F such that w ∘ u ∘ v is Hilbert-Schmidt for every bounded operator v: H₁ → E and every bounded operator w: F → H₂, where H₁ and...
Symmetric -normed space for