THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR 0 < p < 1 Academic Article

abstract

• We give a proof of the Khintchine inequalities in non-commutative $L_{p}$-spaces for all $0. These new inequalities are valid for the Rademacher functions or Gaussian random variables, but also for more general sequences, for example, 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. We end by showing that Mazur maps are Hlder on semifinite von Neumann algebras.

authors

• Pisier, Gilles

published proceedings

• JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU

author list (cited authors)

• Pisier, G., & Ricard, E.

citation count

• 14

complete list of authors

• Pisier, Gilles||Ricard, Eric

publication date

• November 2017

publisher

• Cambridge University Press (CUP)  Publisher

published in

• JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU  Journal

keywords

• Khintchine Inequalities
• Non -commutative L-p-spaces

Digital Object Identifier (DOI)

• 10.1017/S1474748015000353

start page

• 1103

end page

• 1123

volume

• 16

issue

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1017%2Fs1474748015000353