Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, I.
Entropy numbers of certain summation operators.
Entropy numbers of diagonal operators of logarithmic type.
Entropy numbers of embeddings between logarithmic Sobolev spaces.
Entropy numbers of general diagonal operators.
We determine the asymptotic behavior of the entropy numbers of diagonal operators D: lp → lq, (xk) → (skxk), 0 < p,q ≤ ∞, under mild regularity and decay conditions on the generating sequence (σk). Our results extend the known estimates for polynomial and logarithmic diagonals (σk). Moreover, we also consider some exotic intermediate examples like (σk)=exp(-√log k).
Entropy of -valued operators and diverse applications.
Espaces vectoriels topologiques non localement convexes, espaces d'Orlicz
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.
Examples of Friedrichs model operators with a cluster point of eigenvalues.
Extremely Non-Nice Operators into CK and Continuous Mappings into the Hilbert Cube.
Factoring Operators through c0 .
Factoring Rosenthal operators.
In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l1.
Factorization of compact operators and applications to the approximation problem
Factorization of compact operators and finite representability of Banach spaces with applications to Schwartz spaces
Factorization of entropy ideals: proportional case
Fourier coefficients of continuous linear mappings on homogeneous Banach spaces
Fractals, trees and the Neumann Laplacian.
Frame characterizations of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and their applications.