s-Numbers of integral operators with Hölder continuous kernels over metric compacta

Abstract

AbstractWe determine the asymptotic behaviour of Kolmogorov and approximation numbers of integral operators, which act in C(X), where X is a compact metric space, and which are defined by means of Hölder continuous kernels. The results show the connection of the decay of these s-numbers with the entropy (and in this way with the dimension) of X