Lack of isomorphic embeddings of symmetric function spaces into operator ideals

Sergei Astashkin, Jinghao Huang, Fedor Sukochev

Let $E(0,1)$ be a symmetric space on $(0,1)$ and $C_F$ be a symmetric ideal of compact operators on the Hilbert space ${\ell }_2$ associated with a symmetric sequence space $F$. We gi…