Banach principle in the space of τ-measurable operators

DOI10.4064/SM-143-1-33-41zbMath0968.46049OpenAlexW305429563MaRDI QIDQ4523080

Michael Goldstein, Semyon Litvinov

Publication date: 7 January 2001

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216808

zbMATH Keywords

von Neumann algebraclosed operatorbilateral almost uniform convergencenoncommutative Banach principlenoncommutative ergodic theoremsfaithful semifinite normal tracecomplete lattice of all projectionstopological \(*\)-algebra of all \(\tau\)-measurable operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Noncommutative measure and integration (46L51) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (10)

Ergodic averages with vector-valued Besicovitch weights ⋮ Noncommutative multi-parameter Wiener-Wintner type ergodic theorem ⋮ Almost everywhere convergence for noncommutative spaces ⋮ On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ On noncommutative weighted local ergodic theorems on \(L^p\)-spaces ⋮ On individual ergodic theorems for semifinite von Neumann algebras ⋮ The Banach principle for ideal convergence in the classical and noncommutative context ⋮ Uniform equicontinuity of sequences of measurable operators and non-commutative ergodic theorems ⋮ Convergences in JW-algebras and in their enveloping von Neumann algebras

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