Khintchine and Rosenthal Inequalities in Non-Commutative Symmetric Banach Functions Spaces

  • Abubaker Mukhtatar I.
  • Hail Suwayhi. A.
  • Ibrahim Hamza H.

Abstract

We present a direct proof of the upper Khintchine inequality for non-commutative symmetric spaces and derive an improved version of Rosenthal Theorem for sums of independent random variables in non-commutative symmetric spaces. As a result we obtain a new proof of Rosenthal Theorem for Lp spaces.Keywords: Symmetric spaces, non-commutative spaces, Rosenthal inequalities, Khintchine inequalities
Published
2020-09-21
Section
Articles