A proportional Dvoretzky-Rogers factorization result
Authors:
A. A. Giannopoulos
Affiliation:
Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106
Abstract:
If is an -dimensional normed space and , there exists , such that the formal identity can be written as , with . This is proved as a consequence of a Sauer-Shelah type theorem for ellipsoids.