Partition-dependent stochastic measures and -deformed cumulants.
Page 1
Anshelevich, Michael (2001)
Documenta Mathematica
Eva Hensz, Ryszard Jajte (1986)
Mathematische Zeitschrift
Hideki Kosaki (1980)
Mathematica Scandinavica
Kari Ylinen (1996)
Studia Mathematica
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...
Christian F. Skau (1979)
Mathematica Scandinavica
Łukasz Wojakowski (2007)
Michael Anshelevich (2010)
Banach Center Publications
In [AnsMonic, AnsBoolean], we investigated monic multivariate non-commutative orthogonal polynomials, their recursions, states of orthogonality, and corresponding continued fraction expansions. In this note, we collect a number of examples, demonstrating what these general results look like for the most important states on non-commutative polynomials, namely for various product states. In particular, we introduce a notion of a product-type state on polynomials, which covers all the non-commutative...
Jean de Cannière (1979)
Bulletin de la Société Mathématique de France
Gilles Pisier (1995)
Bulletin de la Société Mathématique de France
Jan Hamhalter (1993)
Annales de l'I.H.P. Physique théorique
Page 1