Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-1,
author = {Jolanta Soca\l a},
title = {Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {95-103},
zbl = {1076.47029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-1}
}
Jolanta Socała. Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice. Annales Polonici Mathematici, Tome 81 (2003) pp. 95-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-1/