Displaying similar documents to “Dilation theorems for completely positive maps and map-valued measures”

Vector valued measures of bounded mean oscillation.

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]).

The bundle convergence in von Neumann algebras and their L 2 -spaces

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.