The Walsh basis in the Lp-spaces of hyperfinite III_λ-factors, 0 < λ<= 1

M. Caspers, D. Potapov, F. Sukochev

We introduce a non-commutative Walsh system and prove that it forms a Schauder basis in the Lp-spaces (1 < p < \infty) associated with the hyperfinite III_λ-factors (0 < λ<= 1).