Sharp uniform convexity and smoothness inequalities for trace norms.
Some extensions on the Sadovskii functor.
Some Relations Between s-Numbers of Operators on Banach Spaces.
Some remarks on the uniform approximation property in Banach spaces
Some stable operator ideals
Some stable operator ideals.
Some stable operator ideals
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...
Surjective factorization of holomorphic mappings
We characterize the holomorphic mappings between complex Banach spaces that may be written in the form , where is another holomorphic mapping and belongs to a closed surjective operator ideal.