Geodesic
Pitt's theorem for the Lorentz and Orlicz sequence spaces
Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 18-25

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $L(X,Y)$ be the Banach space of all continuous linear operators from $X$ to $Y$, and let $K(X,Y)$ be the subspace of compact operators. Some versions of the classical Pitt theorem (if $p>q$, then $K(\ell_p,\ell_q)=L(\ell_p,\ell_q)$) for subspaces of Lorentz and Orlicz sequence spaces are established. 
@article{MZM_1997_61_1_a2,
     author = {E. A. Jausekle and \`E. F. Oja},
     title = {Pitt's theorem for the {Lorentz} and {Orlicz} sequence spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {18--25},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a2/}
}
TY  - JOUR
AU  - E. A. Jausekle
AU  - È. F. Oja
TI  - Pitt's theorem for the Lorentz and Orlicz sequence spaces
JO  - Matematičeskie zametki
PY  - 1997
SP  - 18
EP  - 25
VL  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a2/
LA  - ru
ID  - MZM_1997_61_1_a2
ER  - 
%0 Journal Article
%A E. A. Jausekle
%A È. F. Oja
%T Pitt's theorem for the Lorentz and Orlicz sequence spaces
%J Matematičeskie zametki
%D 1997
%P 18-25
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a2/
%G ru
%F MZM_1997_61_1_a2
E. A. Jausekle; È. F. Oja. Pitt's theorem for the Lorentz and Orlicz sequence spaces. Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 18-25. http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a2/