activity
20032026
most citedCharacterisations of the weak expectation property

43 citations · 100 across the 21 of their papers we have counts for

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Showing 2011Show all

6 papers · 1 filter

quant-ph2011★ 9 cited

Classical and nonclassical randomness in quantum measurements

Douglas Farenick, Sarah Plosker, Jerrod Smith

The space of positive operator-valued measures on the Borel sets of a compact (or even locally compact) Hausdorff space with values in the algebra of linear operators acting on a d…

math.PR2011★ 14 cited

Conditional expectation and Bayes' rule for quantum random variables and positive operator valued measures

Douglas Farenick, Michael J. Kozdron

A quantum probability measure is a function on a sigma-algebra of subsets of a (locally compact and Hausdorff) sample space that satisfies the formal requirements for a measure, bu…

math.OA2011

C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius

Douglas Farenick, Ali S. Kavruk, Vern I. Paulsen

A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper…

math.OA2011

Injective envelopes and local multiplier algebras of some spatial continuous trace C*-algebras, II

Martin Argerami, Douglas Farenick, Pedro Massey

We determine the injective envelope and local multiplier algebra of a continuous trace C*-algebra that arises from a continuous Hilbert bundle over an arbitrary locally compact Hau…

math.RT2011

Arveson's criterion for unitary similarity

Douglas Farenick

This paper is an exposition of W.B. Arveson's complete invariant for the unitary similarity of complex, irreducible matrices.

math.OA2011

Operator system quotients of matrix algebras and their tensor products

Douglas Farenick, Vern I. Paulsen

An operator system modulo the kernel of a completely positive linear map of the operator system gives rise to an operator system quotient. In this paper, operator system quotients…