RT Journal Article
T1 Strictly singular and strictly co-singular inclusions between symmetric sequence spaces
A1 Hernández, Francisco L.
A1 Sánchez de los Reyes, Víctor Manuel
A1 Semenov, Evgeny M.
AB 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.
PB Elsevier
SN 0022-247X
YR 2004
FD 2004-03-15
LK https://hdl.handle.net/20.500.14352/50060
UL https://hdl.handle.net/20.500.14352/50060
LA eng
NO DGES
NO RFFI
NO Universities of Russia
DS Docta Complutense
RD 23 abr 2025