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/