A quasimartingale characterization of p stable type Banach spaces

Details A quasimartingale characterization of p stable type Banach spaces A quasimartingale characterization of p stable type Banach spaces

2010-06-08

arxiv.org/abs/1006.1541v1

Mathematics

Probability

Scientific paper

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.

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