Geodesic
Positive operator bimeasures and a noncommutative generalization
Studia Mathematica, Tome 118 (1996) no. 2, pp. 157-168

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For C*-algebras A and B and a Hilbert space H, a class of bilinear maps Φ: A× B → L(H), analogous to completely positive linear maps, is studied. A Stinespring type representation theorem is proved, and in case A and B are commutative, the class is shown to coincide with that of positive bilinear maps. As an application, the extendibility of a positive operator bimeasure to a positive operator measure is shown to be equivalent to various conditions involving positive scalar bimeasures, pairs of commuting projection-valued measures or pairs of commuting positive operator measures.
DOI : 10.4064/sm-118-2-157-168

Kari Ylinen 1

1 
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Kari Ylinen. Positive operator bimeasures and a noncommutative generalization. Studia Mathematica, Tome 118 (1996) no. 2, pp. 157-168. doi: 10.4064/sm-118-2-157-168

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