A noncommutative Davis' decomposition for martingales

Details A noncommutative Davis' decomposition for martingales A noncommutative Davis' decomposition for martingales

2009-06-24

arxiv.org/abs/0906.4434v1

Mathematics

Operator Algebras

To be published in Journal of London Math. Soc

Scientific paper

We prove an analogue of the classical Davis' decomposition for martingales in
noncommutative L_p-spaces, involving the square functions. We also determine
the dual space of the noncommutative conditioned Hardy space \h_1. We further
extend this latter result to the case 1

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