operators between normed spaces
Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.
Eigenvalue distribution of integral operators defined by Orlicz kernels.
Eigenvalues of Hille-Tamarkin operators and geometry of Banach function spaces
We investigate how the asymptotic eigenvalue behaviour of Hille-Tamarkin operators in Banach function spaces depends on the geometry of the spaces involved. It turns out that the relevant properties are cotype p and p-concavity. We prove some eigenvalue estimates for Hille-Tamarkin operators in general Banach function spaces which extend the classical results in Lebesgue spaces. We specialize our results to Lorentz, Orlicz and Zygmund spaces and give applications to Fourier analysis. We are also...
Eigenvalues of Integral Operators, I.
Eigenvalues of Integral Operators. II.
Entropy and n-widths of operators in Banach spaces
Entropy numbers of r-nuclear operators between spaces
Entropy numbers of r-nuclear operators in Banach spaces of type q
Erratum to the paper: Ideals of homogeneous polynomials and weakly compact approximation property in Banach spaces published in Czech. Math. J. vol. 57 (132), No. 2 (2007), 763–776
Espace de Dixmier des opérateurs de Hankel sur les espaces de Bergman à poids
Nous donnons des résultats théoriques sur l’idéal de Macaev et la trace de Dixmier. Ensuite, nous caractérisons les symboles antiholomorphes tels que l’opérateur de Hankel sur l’espace de Bergman à poids soit dans l’idéal de Macaev et nous donnons la trace de Dixmier. Pour cela, nous regardons le comportement des normes de Schatten quand tend vers et nous nous appuyons sur le résultat de Engliš et Rochberg sur l’espace de Bergman. Nous parlons aussi des puissances de tels opérateurs. Abstract....
Espaces de cotype ,
Essential norms of weighted composition operators on the space of Dirichlet series
We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.
Estimates for the approximation numbers of one class of integral operators. II.
Estimates for the approximation numbers of one class of integral operators. I.
Estimating compactness properties of operators by the aid of generalized entropy numbers.
Estimations des distances à un espace euclidien et des constantes de projection des espaces de Banach de dimension finie ; d'après H. König et al.
Exact asymptotic behavior of singular values of a class of integral operators
We find an exact asymptotic formula for the singular values of the integral operator of the form (, a Jordan measurable set) where , , and is slowly varying function with some additional properties. The formula is an explicit expression in terms of and .
Exemples d'utilisation de la théorie des applications radonifiantes
Extension of Zhu's solution to Lotto's conjecture on the weighted Bergman spaces.