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Operator Algebra Seminars

Fri., Nov. 23, 2018 1:30 p.m. - Fri., Nov. 23, 2018 2:30 p.m.

Location: Classroom Building (CL) 416

Speaker: Sarah Plosker, University of Brandon

Title:  On operator-valued measures


We consider positive operator-valued measures whose image is the bounded operators acting on an infinite-dimensional Hilbert space, and we relax, when possible, the usual assumption of positivity of the operator-valued measure seen in the quantum information theory literature. We consider integrals of quantum random variables, extending work done by Farenick--Plosker--Smith (2011) to the setting of infinite-dimensional Hilbert space, and develop positive operator-valued versions of a number of classical measure decomposition theorems. This is joint work with D. Mclaren and C. Ramsey.