A transference method in quantum probability

Marius Junge, Javier Parcet

Research output: Contribution to journalArticlepeer-review


Working with a rather general notion of independence, we provide a transference method which allows to compare the p-norm of sums of independent copies with the p-norm of sums of free copies. Our main technique is to construct explicit operator space Lp embeddings preserving independence to reduce the problem to L1, where some recent results by the first-named author can be used. We find applications on noncommutative Khintchine/Rosenthal type inequalities and on noncommutative Lp embedding theory.

Original languageEnglish (US)
Pages (from-to)389-444
Number of pages56
JournalAdvances in Mathematics
Issue number1
StatePublished - Sep 2010


  • Freeness
  • Independence
  • Khintchine inequalities
  • Noncommutative Lp space
  • Operator space

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'A transference method in quantum probability'. Together they form a unique fingerprint.

Cite this