This is an announcement for the paper “Factorization in $SL_{\infty}$” by Richard Lechnerhttps://arxiv.org/find/math/1/au:+Lechner_R/0/1/0/all/0/1.

Abstract: We show that the non-separable Banach space $SL_{\infty}$ is primary. This is achieved by directly solving the infinite dimensional factorization problem in $SL_{\infty}$. In particular, we bypass Bourgain's localization method.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1611.00622