The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1

D. Potapov; F. Sukochev; M. Caspers

arxiv: 1111.2403 · v1 · pith:FZKCUNITnew · submitted 2011-11-10 · 🧮 math.OA · math.FA

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

M. Caspers , D. Potapov , F. Sukochev This is my paper

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keywords basishyperfinitelambdalambda-factorslp-spaceswalshassociatedforms

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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_\lambda-factors (0 < \lambda <= 1).

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

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