Laws of large numbers in von Neumann algebras and related results
Andrzej Łuczak (1985)
Studia Mathematica
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Andrzej Łuczak (1985)
Studia Mathematica
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A. Makagon, H. Salehi (1987)
Studia Mathematica
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T. Figiel, T. Iwaniec, A. Pełczyński (1984)
Studia Mathematica
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A. Pełczyński (1967)
Studia Mathematica
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Esser, Martinus (1958)
Portugaliae mathematica
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Schmidt, Klaus D., Waldschaks, Gerd (1991)
Portugaliae mathematica
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Oscar Blasco (1991)
Publicacions Matemàtiques
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The duality between H1 and BMO, the space of functions of bounded mean oscillation (see [JN]), was first proved by C. Fefferman (see [F], [FS]) and then other proofs of it were obtained. In this paper we shall study such space in little more detail and we shall consider the H1-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type (see [CW]).
Gonshor, Harry (1966)
Portugaliae mathematica
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A. Pełczyński (1964)
Studia Mathematica
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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.