Critically large entropy of absolutely convex hulls in Banach spaces of type p
- Autores: Oliver Kley, Philipp Rudolph
- Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 184, Nº 1, 2014, págs. 1-27
- Idioma: inglés
- DOI: 10.1016/j.jat.2014.05.001
- Enlaces
-
Resumen
Given a precompact subset A of a Banach space of type p, we investigate and quantify in which way the rate of decay of the entropy numbers of A affects the rate of decay of the entropy numbers of the real absolutely convex hull of A. This problem has been studied by various researchers in different settings during the last 25 years. We get new and best possible results both in the case of logarithmic decay of entropy numbers of A and in the case that the entropy numbers of A belong to some Lorentz sequence space making a major step to completing the picture.
¿Es nuevo? Regístrese
Ventajas de registrarse
