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We establish the Cauchy-Schwarz and Golden-Thompson inequalities for module operators, a generalization of a (noncommutative) conditional expectation, on a von Neumann algebra. We apply these inequalities to the Bennett inequality… Click to show full abstract
We establish the Cauchy-Schwarz and Golden-Thompson inequalities for module operators, a generalization of a (noncommutative) conditional expectation, on a von Neumann algebra. We apply these inequalities to the Bennett inequality and an uncertainty relation, a generalization of the Schrodinger uncertainty relation, for conditional expectations.We establish the Cauchy-Schwarz and Golden-Thompson inequalities for module operators, a generalization of a (noncommutative) conditional expectation, on a von Neumann algebra. We apply these inequalities to the Bennett inequality and an uncertainty relation, a generalization of the Schrodinger uncertainty relation, for conditional expectations.
Journal Title: Journal of Mathematical Physics
Year Published: 2018
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