Mixed-norm inequalities and operator space L_p embedding theory

✍ Scribed by Marius Junge, Javier Parcet

Publisher: Amer Mathematical Society
Year: 2010
Tongue: English
Leaves: 168
Series: Memoirs of the American Mathematical Society 0953
Category: Library

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✦ Synopsis

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

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