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

2011/11/10 by Martijn Caspers, Caspers, M., Denis Potapov +3
Mathematics · #46B15 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1111.2403

openalex publication_date 2011/11/10 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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

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