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arXiv · 1111.2403

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

M. Caspers·D. Potapov·F. Sukochev
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Abstract

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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M. Caspers, D. Potapov, F. Sukochev. 2011-11-10. The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1. https://arxiv.org/abs/1111.2403

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