2026-06-28T09:49:45Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/422562023-08-11T05:00:05Zcom_20.500.14352_14col_20.500.14352_15

Strictly singular operators on Lp spaces and interpolation Hernández, Francisco L. Semenov, Evgeny M. Tradacete Pérez, Pedro 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. 2023-06-20T00:14:32Z 2023-06-20T00:14:32Z 2010-02 journal article 0002-9939 10.1090/S0002-9939-09-10089-8 https://hdl.handle.net/20.500.14352/42256 http://www.ams.org/journals/proc/2010-138-02/home.html http://www.ams.org eng MTM2008-02652 PR34/07-15837 08-01-00226-a AP-2004-4841 restricted access American Mathematical Society