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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Bibliographische Detailangaben
Hauptverfasser: Junge, Marius, Parcet, Javier
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, R.I American Mathematical Society 2009
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Banach spaces
Harmonic analysis
Lp spaces
Martingales (Mathematics)
Noncommutative function spaces
Quantum statistics
ISBN:9780821846551, 0821846558
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:Volume 203, number 953 (2nd of 5 numbers).
Includes bibliographical references (p. 153-155)
ISBN:9780821846551
0821846558