Hernández, Francisco L.Semenov, Evgeny M.Tradacete Pérez, Pedro2023-06-202023-06-202010-020002-993910.1090/S0002-9939-09-10089-8https://hdl.handle.net/20.500.14352/42256We study the class Vp of strictly singular non-compact operators on Lp spaces. This allows us to obtain interpolation results for strictly singular operators on Lp spaces. Given 1 ≤ p < q ≤ ∞, it is shown that if an operator T bounded on Lp and Lq is strictly singular on Lr for some p ≤ r ≤ q, then it is compact on Ls for every p < s < q.engjournal articlehttp://www.ams.org/journals/proc/2010-138-02/home.htmlhttp://www.ams.orgrestricted access517.98517.982.2517.518.85Strictly singular operatorLp spaceinterpolationidealsAnálisis funcional y teoría de operadores