Hernández, Francisco L.Sánchez de los Reyes, Víctor ManuelSemenov, Evgeny M.2023-06-202023-06-202008-010025-587410.1007/s00209-007-0159-7https://hdl.handle.net/20.500.14352/50344Francisco L. Hernández and Víctor M. Sánchez were partially supported by the Spanish Ministry of Education, grant MTM2005-00082 and Complutense-Santander grant PR27/05-14045. Evgeny M. Semenov was partially supported by RFBR (Russia), grant 05-01-00629, by Universities of Russia grant 04.01.051 and by a Spanish Ministry of Education grant SAB2002.It is given a complete characterization of the strict singularity and the disjoint strict singularity of the inclusions E → L1 + L∞ for the class of rearrangement invariant function spaces E on the [0,∞) interval. Their relationship is also analyzed. Suitable criteria are given involving the scale of order continuous weak L p-spaces for 1 < p < ∞.engjournal articlehttp://link.springer.com/article/10.1007%2Fs00209-007-0159-7http://link.springer.com/restricted access517.98Rearrangement invariant spacesStrict singularityDisjoint strict singularity Weak compactnessAnálisis funcional y teoría de operadores