This is an announcement for the paper “Strictly singular multiplication operators on $\mathcal L(X)$” by Martin Mathieuhttps://arxiv.org/search/math?searchtype=author&query=Mathieu%2C+M, Pedro Tradacetehttps://arxiv.org/search/math?searchtype=author&query=Tradacete%2C+P.

Abstract: Exploiting several $\ell_p$-factorization results for strictly singular operators, we study the strict singularity of the multiplication operator $L_A R_B\colon T\mapsto ATB$ on $\mathcal L(X)$ for various Banach spaces~$X$.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1810.09194