Orthogonal Factors of Operators on the Rosenthal $X_{p,w}$ spaces and the Bourgain-Rosenthal-Schechtman $R_{\omega }^p$ space

Abstract

For $1<p<\infty$, we show that the Rosenthal $X_{p,w}$ spaces and the Bourgain-Rosenthal-Schechtman $R_{\omega }^p$ space have the factorization property and the primary factorization property.

36 pages, no figures