Entropy numbers of convex hulls in Banach spaces and applications

We use the results for estimating entropy and Kolmogorov numbers of diverse operators acting from a Banach space whose dual space is of type p or, especially, from a Hilbert space into a C(M) space. In particular, we get entropy estimates of operators factoring through a diagonal operator and of abstract integral operators as well as of weakly singular convolution operators. Moreover, estimates of entropy and Kolmogorov numbers of the classical and generalized Riemann-Liouville operator are established, complementing and extending results in the literature.