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oai:docta.ucm.es:20.500.14352/500602023-08-11T06:05:06Zcom_20.500.14352_14col_20.500.14352_15

Strictly singular and strictly co-singular inclusions between symmetric sequence spaces Hernández, Francisco L. Sánchez de los Reyes, Víctor Manuel Semenov, Evgeny M. 517.982.27 517.98 Basic sequences Orlicz spaces operators Análisis funcional y teoría de operadores Strict singularity and strict co-singularity of inclusions between symmetric sequence spaces are studied. Suitable conditions are provided involving the associated fundamental functions. The special case of Lorentz and Marcinkiewicz spaces is characterized. It is also proved that if E hooked right arrow F are symmetric sequence spaces with E ≠ l(1) and F ≠ l c(0) and l(∞) then there exist a intermediate symmetric sequence space G such that E hooked right arrow G hooked right arrow F and both inclusions are not strictly singular. As a consequence new characterizations of the spaces c(o) and l(1) inside the class of all symmetric sequence spaces are given. DGES RFFI Universities of Russia Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:37:33Z 2023-06-20T09:37:33Z 2004-03-15 journal article https://hdl.handle.net/20.500.14352/50060 0022-247X 10.1016/j.jmaa.2003.11.010 eng BMF2001-1284 02-01-00146 04.01.051 restricted access application/pdf Elsevier