Classes d'opérateurs à puissances nucléaires
Closed operator ideals and limiting real interpolation
We establish interpolation properties under limiting real methods for a class of closed ideals including weakly compact operators, Banach-Saks operators, Rosenthal operators and Asplund operators. We show that they behave much better than compact operators.
Commutators based on the Calderón reproducing formula
We prove the Schatten-Lorentz ideal criteria for commutators of multiplications and projections based on the Calderón reproducing formula and the decomposition theorem for the space of symbols corresponding to commutators in the Schatten ideal.
Commutators of Hilbert-Schmidt type and the scattering cross section
Compact non-nuclear operator problem
Compact, non-nuclear operators
Compact Operators in Type III... and Type III... Factors.
Comparison of Norms |||f (A) - f(B) ||| and |||f (|A - B|) |||.
Completely 1-complemented subspaces of the Schatten spaces
We describe the subspaces of (1 ≤ p ≠ 2 < ∞) which are the range of a completely contractive projection.
Composition of (E,2)-summing operators
The Banach operator ideal of (q,2)-summing operators plays a fundamental role within the theory of s-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for (E,2)-summing operators, E a symmetric Banach sequence space.
Composition operators on the Bergman space
Compositions of operator ideals and their regular hulls
Computing summing norms and type constants on few vectors
Concentration of mass on the Schatten classes
Conditions d'entropie assurant la continuité de certains processus et applications à l'analyse harmonique
(Conférence n°1) Applications -sommantes, pour réel , et démonstration d’une conjecture de Pietsch
(Conférence n°1) Applications -sommantes, pour réel , et démonstration d’une conjecture de Pietsch
(Conférence n°2) Une propriété caractéristique des processus linéaires continus. Applications aux opérateurs -radonifiants
(Conférence n°2) Une propriété caractéristique des processus linéaires continus. Applications aux opérateurs -radonifiants
Conical measures and properties of a vector measure determined by its range
We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...