90 citations · 421 across the 37 of their papers we have counts for
37 papers
Helson and subdiagonal operator algebras
William Arveson
This article shows how the work of Henry Helson, especially the two papers of Helson and Lowdenslager, came to influence the development of the theory of non self adjoint operator…
Dilation theory yesterday and today
William Arveson
Paul Halmos' work in dilation theory began with a question and its answer: Which operators on a Hilbert space can be extended to normal operators on a larger Hilbert space? The ans…
The noncommutative Choquet boundary III: Operator systems in matrix algebras
William Arveson
We classify operator systems that act on finite dimensional Hilbert spaces by making use of the noncommutative Choquet boundary. S is said to be {\em red…
The noncommutative Choquet boundary II: Hyperrigidity
William Arveson
A (finite or countably infinite) set G of generators of an abstract C*-algebra A is called hyperrigid if for every faithful representation of A on a Hilbert space $A\subseteq \math…
Maximal vectors in Hilbert space and quantum entanglement
William Arveson
Let be a norm-closed subset of the unit sphere of a Hilbert space that is stable under multiplication by scalars of absolute value 1. A {\em maximal vector} (for ) is a…
Quantum channels that preserve entanglement
William Arveson
Let M and N be full matrix algebras. A unital completely positive (UCP) map ϕ:M\to N is said to preserve entanglement if its inflation ϕ\otimes \id_N : M\otimes N\to N\otimes N has…