Geodesic
Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 505-522.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded. We give necessary and sufficient conditions for infinite matrices $A$ to map $X$ into $Y$. Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for $A$ to be a compact operator.
Classification : 40H05, 46A45, 47B07, 47B37
Keywords: BK spaces; bases; matrix transformations; measure of noncompactness 
@article{CMJ_2001__51_3_a5,
     author = {Malkowsky, E. and Rako\v{c}evi\'c, V.},
     title = {Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded},
     journal = {Czechoslovak Mathematical Journal},
     pages = {505--522},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2001},
     mrnumber = {1851544},
     zbl = {1079.46504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a5/}
}
TY  - JOUR
AU  - Malkowsky, E.
AU  - Rakočević, V.
TI  - Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded
JO  - Czechoslovak Mathematical Journal
PY  - 2001
SP  - 505
EP  - 522
VL  - 51
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a5/
LA  - en
ID  - CMJ_2001__51_3_a5
ER  - 
%0 Journal Article
%A Malkowsky, E.
%A Rakočević, V.
%T Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded
%J Czechoslovak Mathematical Journal
%D 2001
%P 505-522
%V 51
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a5/
%G en
%F CMJ_2001__51_3_a5
Malkowsky, E.; Rakočević, V. Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 505-522. http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a5/