Mixed-norm inequalities and operator space Lp embedding theory

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 maxi...

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Bibliographic Details
Main Authors: Junge, Marius, Parcet, Javier
Format: eBook Book
Language:English
Published: Providence, R.I American Mathematical Society 2009
Series:Memoirs of the American Mathematical Society
Subjects:
Banach spaces
Harmonic analysis
Lp spaces
Martingales (Mathematics)
Noncommutative function spaces
Quantum statistics
ISBN:9780821846551, 0821846558
Online Access:Get full text
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Summary: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.
Bibliography:Volume 203, number 953 (2nd of 5 numbers).
Includes bibliographical references (p. 153-155)
ISBN:9780821846551
0821846558