A quasimartingale characterization of p stable type Banach spaces
Abstract
We characterize Banach spaces B of stable type p (1 < p < 2) by the property that for every sequence (Xi) of B-valued random variables, independent, centered and fulfilling some integrability assumption, the sequence Sn/n(1/p) is a quasimartingale, where Sn=X1+...+Xn.
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