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# Operator Algebra Seminars

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Fri., Nov. 23, 2018 1:30 p.m.
- Fri., Nov. 23, 2018 2:30 p.m.
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Location: Classroom Building (CL) 416
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**Speaker:** Sarah Plosker, University of Brandon

**Title:** On operator-valued measures

**Abstract:**

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.