Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice
Volume 82 / 2003
Annales Polonici Mathematici 82 (2003), 95-103 MSC: Primary 47B38, 47B65, 47G10; Secondary 60J05, 92D25. DOI: 10.4064/ap82-2-1
Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on $C(X)$ and on $L^p(X)$ $(1\le p \le \infty )$ are proved. The general results are applied to a class of semigroups generated by some differential equations.