Narrow and ${\ell }_2$-strictly singular operators from $L_p$

V. Mykhaylyuk, M. Popov, B. Randrianantoanina +1

In the first part of the paper we prove that for $2<p,r<\infty$ every operator $T:L_p\to {\ell }_r$ is narrow. This completes the list of sequence and function Lebesgue spaces…