Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for p>1

2020/10/12 by Semyon Litvinov, Litvinov, Semyon
Mathematics · #46L52(secondary) #47A35(primary) #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2010.07286

openalex publication_date 2020/10/12 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We prove that the ergodic Ces' aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space L^p(\mathcal M,τ), 1

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