Liftings of 1-forms to the -velocities bundle
Gąsowski, Mariusz
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Gąsowski, Mariusz
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Milan Kučera, Jindřich Nečas (1977)
Časopis pro pěstování matematiky
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Anton Dekrét (1993)
Mathematica Slovaca
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Ewa Hensz, Ryszard Jajte, Adam Paszkiewicz (1996)
Studia Mathematica
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A stronger version of almost uniform convergence in von Neumann algebras is introduced. This "bundle convergence" is additive and the limit is unique. Some extensions of classical limit theorems are obtained.
Ferenc Móricz, Barthélemy Le Gac (2000)
Studia Mathematica
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The notion of bundle convergence in von Neumann algebras and their -spaces for single (ordinary) sequences was introduced by Hensz, Jajte, and Paszkiewicz in 1996. Bundle convergence is stronger than almost sure convergence in von Neumann algebras. Our main result is the extension of the two-parameter Rademacher-Men’shov theorem from the classical commutative case to the noncommutative case. To our best knowledge, this is the first attempt to adopt the notion of bundle convergence to...