60 citations · 199 across the 16 of their papers we have counts for
4 papers · 2 filters
Asymptotic lifts of positive linear maps
William Arveson, Erling Stormer
We show that the notion of asymptotic lift generalizes naturally to normal positive maps acting on von Neumann algebras M. We focus on cases in which the domain of the asymptot…
The asymptotic lift of a completely positive map
William Arveson
Starting with a unit-preserving normal completely positive map L: M --> M acting on a von Neumann algebra - or more generally a dual operator system - we show that there is a uniqu…
Diagonals of normal operators with finite spectrum
William Arveson
Let X be a finite set of complex numbers and let A be a normal operator with spectrum X that acts on a separable Hilbert space H. Relative to a fixed orthonormal basis e_1,e_2, ...…
On the existence of -semigroups
William Arveson
Product systems are the classifying structures for semigroups of endomorphisms of B(H), in that two -semigroups are cocycle conjugate iff their product systems are isomorphic.…