"The aim of this research is to development a systematic scheme that makes it possible to transform important parts of the by-ow classical theory of summation of general orthonormal series into a similar theory for series in noncommutative L [subscript p]-spaces constructed over…
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…
