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math.FA2018
An operator-valued Lyapunov theorem
Sarah Plosker, Christopher Ramsey
We generalize Lyapunov's convexity theorem for classical (scalar-valued) measures to quantum (operator-valued) measures. In particular, we show that the range of a nonatomic quantu…
math.FA2018★ 9 cited
On Operator Valued Measures
Darian McLaren, Sarah Plosker, Christopher Ramsey
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 assumptio…