74 citations · 482 across the 45 of their papers we have counts for
52 papers
Noncommutative Choquet theory: A Survey
Kenneth R. Davidson, Matthew Kennedy
We survey noncommutative Choquet theory and some of its applications.
On boundary representations
Kenneth R. Davidson, Michael Hartz
Let be an operator system sitting in its C*-envelope . Starting with a pure state on , let be the face of state extensions to $C^*_{\mathrm{min}}(…
Positive maps and entanglement in real Hilbert spaces
Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen +1
The theory of positive maps plays a central role in operator algebras and functional analysis, and has countless applications in quantum information science. The theory was origina…
Counterexamples to the extendibility of positive unital norm-one maps
Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen +1
Arveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on the whole C*-algebra…
Strongly peaking representations and compressions of operator systems
Kenneth R. Davidson, Benjamin Passer
We use Arveson's notion of strongly peaking representation to generalize uniqueness theorems for free spectrahedra and matrix convex sets which admit minimal presentations. A fully…
Interpolation and duality in algebras of multipliers on the ball
Kenneth R. Davidson, Michael Hartz
We study the multiplier algebras obtained as the closure of the polynomials on certain reproducing kernel Hilbert spaces on the ball o…