A quasimartingale characterization of p stable type Banach spaces
Probability
2010-07-26 v1
Abstract
We characterize Banach spaces B of stable type p (1 < p < 2) by the property that for every sequence (X_i) of B-valued random variables, independent, centered and fulfilling some integrability assumption, the sequence S_n/n^(1/p) is a quasimartingale, where S_n=X_1+...+X_n.
Cite
@article{arxiv.1006.1541,
title = {A quasimartingale characterization of p stable type Banach spaces},
author = {Florian Hechner and Bernard Heinkel},
journal= {arXiv preprint arXiv:1006.1541},
year = {2010}
}