NONCOMMUTATIVE KHINTCHINE AND PALEY INEQUALITIES Academic Article uri icon

abstract

  • We give a proof of the Khintchine inequalities in non-commutative $L_p$-spaces for all $0< p<1$. These new inequalities are valid for the Rademacher functions or Gaussian random variables, but also for more general sequences, e.g. for the analogues of such random variables in free probability. We also prove a factorization for operators from a Hilbert space to a non commutative $L_p$-space, which is new for $0

published proceedings

  • ARKIV FOR MATEMATIK

altmetric score

  • 3

author list (cited authors)

  • LUSTPIQUARD, F., & PISIER, G.

citation count

  • 125

complete list of authors

  • LUSTPIQUARD, F||PISIER, G

publication date

  • December 1991