-Estimates for certain kernels on local fields
C*-algebras have a quantitative version of Pełczyński's property (V)
A Banach space has Pełczyński’s property (V) if for every Banach space every unconditionally converging operator is weakly compact. H. Pfitzner proved that -algebras have Pełczyński’s property (V). In the preprint (Krulišová, (2015)) the author explores possible quantifications of the property (V) and shows that spaces for a compact Hausdorff space enjoy a quantitative version of the property (V). In this paper we generalize this result by quantifying Pfitzner’s theorem. Moreover, we...
Carleson embeddings.
Certain function spaces related to the metaplectic representation
Certaines propriétés des opérateurs de Riesz
Characterization of (p,q,r)-absolutely summing operators on Hilbert space
Characterization of weak type by the entropy distribution of r-nuclear operators
The dual of a Banach space X is of weak type p if and only if the entropy numbers of an r-nuclear operator with values in a Banach space of weak type q belong to the Lorentz sequence space with 1/s + 1/p + 1/q = 1 + 1/r (0 < r < 1, 1 ≤ p, q ≤ 2). It is enough to test this for Y = X*. This extends results of Carl, König and Kühn.
Clarkson--McCarthy interpolated inequalities in Finsler norms.
Classes de Schatten d'opérateurs pseudo-différentiels
Classes de Schatten d'opérateurs pseudo-différentiels
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.