%0 Journal Article
%A Hernández, Francisco L.
%A Semenov, Evgeny M.
%A Tradacete Pérez, Pedro
%T Strictly singular operators on Lp spaces and interpolation
%D 2010
%@ 0002-9939
%U https://hdl.handle.net/20.500.14352/42256
%X We 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.
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