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

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

2011-11-10

arxiv.org/abs/1111.2403v1

Mathematics

Operator Algebras

Scientific paper

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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