The bundle convergence in von Neumann algebras and their $L_2$-spaces

DOI10.4064/SM-120-1-23-46zbMath0856.46033OpenAlexW793680705MaRDI QIDQ4890739

Ryszard Jajte, E. Hensz-Chądzyńska, Adam Paszkiewicz

Publication date: 25 August 1996

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

Full work available at URL: https://eudml.org/doc/216318

zbMATH Keywords

von Neumann algebrasbundle convergencealmost uniform convergenceclassical limit theorems

Mathematics Subject Classification ID

Strong limit theorems (60F15) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) General harmonic expansions, frames (42C15)

Related Items (4)

A noncommutative generalisation of a problem of Steinhaus ⋮ The classical monotone convergence theorem of Beppo Levi fails in noncommutative $L_2$-spaces ⋮ Bundle convergence of sequences of pairwise uncorrelated operators in von Neumann algebras and vectors in their \(L_{2}\)-spaces ⋮ Bundle convergence of harmonic means of orthogonal sequences in noncommutative \(L_2\)-spaces

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