Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics
- 1 August 2020
- journal article
- research article
- Published by Bernoulli Society for Mathematical Statistics and Probability in Bernoulli
- Vol. 26 (3), 2105-2142
- https://doi.org/10.3150/19-bej1185
Abstract
Project Euclid - mathematics and statistics onlineThis publication has 22 references indexed in Scilit:
- Local Asymptotic Normality in Quantum StatisticsCommunications in Mathematical Physics, 2007
- Strong consistency and asymptotic efficiency for adaptive quantum estimation problemsJournal of Physics A: General Physics, 2006
- Local asymptotic normality for qubit statesPhysical Review A, 2006
- State estimation for large ensemblesPhysical Review A, 2000
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRASThe Quarterly Journal of Mathematics, 1988
- Lebesgue Decomposition of States on a Von Neumann AlgebraAmerican Journal of Mathematics, 1985
- Means of positive linear operatorsMathematische Annalen, 1980
- The Radon-Nikodym theorem for von neumann algebrasActa Mathematica, 1973
- An extension of Kakutani’s theorem on infinite product measures to the tensor product of semifinite 𝑤*-algebrasTransactions of the American Mathematical Society, 1969
- On Equivalence of Infinite Product MeasuresAnnals of Mathematics, 1948