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Showing 1 to 2 of 2 for “"noncommutative analysis"”.
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Martingale Convergence Techniques in Noncommutative Integration
… to study extensions of classical problems in analysis, without access to the same techniques. This thesis concerns how we may use novel techniques and constructions from the theory of martingales and Banach space geometry to solve problems in noncommutative analysis. The first problem we study …
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Noncommutative Sobolev type inequalities
… we study Sobolev type inequalities in the noncommutative (quantum) settings. We establish the abstract Bakry-\'Emery criterion for the operator-valued $f$-Sobolev inequalities on the derivation triple. We recapture the celebrated Bakry-\'Emery theorem for operator-valued functions on …