Hernández Rodríguez, Francisco LuisRuiz Bermejo, CésarSanchiz Alonso, Mauro2025-05-202025-05-202025Hernández, F. L., Ruiz, C., & Sanchiz, M. (2025). Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces. Journal of Mathematical Analysis and Applications, 550(2), 129634. https://doi.org/10.1016/j.jmaa.2025.1296340022-247X10.1016/j.jmaa.2025.129634https://hdl.handle.net/20.500.14352/1202892025 Acuerdos transformativos CRUEDisjointly strictly singular inclusions between variable Lebesgue spaces Lp(·)(μ) on finite measure are characterized. Suitable criteria in terms of the (bounded or unbounded) exponents are given. It is proved the equivalence of L-weak compactness (also called almost compactness) and disjoint strict singularity for variable Lebesgue space inclusions. For infinite measure any inclusion Lp(·)(μ) → Lq(·)(μ) is not disjointly strictly singular. No restrictions on the exponent are imposed.engAttribution-NonCommercial 4.0 Internationalhttp://creativecommons.org/licenses/by-nc/4.0/journal articlehttps://doi.org/10.1016/j.jmaa.2025.129634open accessVariable Lebesgue spacesDisjoint strict singularityWeak compactnessInclusion operatorsAnálisis funcional y teoría de operadores1202.03 Álgebra y Espacios de Banach