Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals

Jinghao Huang, Fedor Sukochev, Dmitriy Zanin

In the present paper, we study the existence of isomorphic embeddings from Lorentz function spaces $L_{p_1,q_1}$ into Lorentz ideals ${\mathcal{C}}_{p_2,q_2}$ in $B(H).$ In particula…