Geodesic
Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
Annales Polonici Mathematici, Tome 68 (1998) no. 1, pp. 1-16.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Asymptotic convergence theorems for nonnegative operators on Banach lattices, on $L^{∞}$, on C(X) and on $L^p(1 ≤ p ∞)$ are proved. The general results are applied to a class of integral operators on L¹.
DOI : 10.4064/ap-68-1-1-16
Keywords: nonnegative operator, exponentially stationary operator, integral operator, lower function

Jolanta Socała 1

1 
@article{10_4064_ap_68_1_1_16,
     author = {Jolanta Soca{\l}a},
     title = {Asymptotic behaviour of the iterates of nonnegative operators on a {Banach} lattice},
     journal = {Annales Polonici Mathematici},
     pages = {1--16},
     publisher = {mathdoc},
     volume = {68},
     number = {1},
     year = {1998},
     doi = {10.4064/ap-68-1-1-16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-68-1-1-16/}
}
TY  - JOUR
AU  - Jolanta Socała
TI  - Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
JO  - Annales Polonici Mathematici
PY  - 1998
SP  - 1
EP  - 16
VL  - 68
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-68-1-1-16/
DO  - 10.4064/ap-68-1-1-16
LA  - en
ID  - 10_4064_ap_68_1_1_16
ER  - 
%0 Journal Article
%A Jolanta Socała
%T Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
%J Annales Polonici Mathematici
%D 1998
%P 1-16
%V 68
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-68-1-1-16/
%R 10.4064/ap-68-1-1-16
%G en
%F 10_4064_ap_68_1_1_16
Jolanta Socała. Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice. Annales Polonici Mathematici, Tome 68 (1998) no. 1, pp. 1-16. doi : 10.4064/ap-68-1-1-16. http://geodesic.mathdoc.fr/articles/10.4064/ap-68-1-1-16/

Cité par Sources :