The classical monotone convergence theorem of Beppo Levi fails in noncommutative $L_2$-spaces

DOI10.1090/S0002-9939-05-07976-1zbMath1096.46035OpenAlexW1536257991MaRDI QIDQ4674752

Barthélemy Le Gac, Ferenc Móricz

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07976-1

zbMATH Keywords

bundle convergenceBeppo Levi theorem for noncommutative \(L_2\)-spaces

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53)

Cites Work

• Strong limit theorems in non-commutative probability
• Strong limit theorems in noncommutative \(L_ 2\)-spaces
• The bundle convergence in von Neumann algebras and their $L_2$-spaces
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