Mixed-norm Inequalities and Operator Space Lp Embedding Theory (Memoirs of the American Mathematical Society) by Marius Junge
English | 2010 | ISBN: 0821846558 | 155 Pages | PDF | 1.25 MB
English | 2010 | ISBN: 0821846558 | 155 Pages | PDF | 1.25 MB
The authors prove a noncommutative analogue of this inequality for sums of free random variables over a given von Neumann subalgebra. This formulation leads to new classes of noncommutative function spaces which appear in quantum probability as square functions, conditioned square functions and maximal functions.