Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice

• Autorzy: Jolanta Socała
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nonnegative operator; exponentially stationary operator; integral operator; lower function

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 47B65: Positive operators and order-bounded operators
• 47B60: Operators on ordered spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 68
• Numer: 1
• Strony: 1-16

Daty

wydano

1998

otrzymano

1994-11-14

poprawiono

1995-07-12

poprawiono

1997-07-08

Twórcy

autor

Jolanta Socała

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

Bibliografia

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