Quotients of Banach spaces of cotype q q
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Let be a Banach space and let be a -convex subspace (equivalently, assume that does not contain s uniformly). Then every Bernoulli series which converges almost surely in the quotient can be lifted to a Bernoulli series a.s. convergent in . As a corollary, if is of cotype , then is also of cotype . This extends a result of  concerning the particular case .