Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice

• Autorzy: Jolanta Socała
• Języki publikacji: EN

Abstrakty

EN

Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on $L^p(X)$ (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 60J05: Discrete-time Markov processes on general state spaces
• 47G10: Integral operators
• 47B65: Positive operators and order-bounded operators
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 2
• Strony: 95-103

Daty

wydano

2003

Twórcy

autor

Jolanta Socała

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ap82-2-1