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Introduction The modulus of uniform integrability and weak compactness in $L^1(\mathcal N)$ Improvements to the main theorem Complements on the Banach/operator space structure of $L^p(\mathcal N)$-spaces The Banach isomorphic classification of the spaces $L^p(\mathcal N)$ for $\…
In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, whi…
