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Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory
Author(s) -
Jiao Yong,
Sukochev Fedor,
Zanin Dmitriy
Publication year - 2016
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdw024
Subject(s) - noncommutative geometry , mathematics , inequality , operator (biology) , algebra over a field , combinatorics , pure mathematics , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene
We prove disjointification inequalities due to Johnson and Schechtman for noncommutative random variables independent in the sense of Junge and Xu. In the same setting, we also prove noncommutative Khintchine inequalities. These inequalities are proved both for symmetric operator spaces and for modulars.