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We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.

An absolute continuity for positive operators on Banach lattices.

Feldman, W., Piston, C., Piston, Calvin E. (1991)

International Journal of Mathematics and Mathematical Sciences

An elementary proof of a theorem on sublattices of finite codimension

Marek Wójtowicz (1998)

Commentationes Mathematicae Universitatis Carolinae

This paper presents an elementary proof and a generalization of a theorem due to Abramovich and Lipecki, concerning the nonexistence of closed linear sublattices of finite codimension in nonatomic locally solid linear lattices with the Lebesgue property.

An $n \times n$ matrix of linear functionals of $C^{*}$ -algebras.

Sulaiman, W.T. (2002)

International Journal of Mathematics and Mathematical Sciences

Application of $(L)$ sets to some classes of operators

Kamal El Fahri, Nabil Machrafi, Jawad H'michane, Aziz Elbour (2016)

Mathematica Bohemica

The paper contains some applications of the notion of $Ł$ sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order $(L)$ -Dunford-Pettis operators, that is, operators from a Banach space into a Banach lattice whose adjoint maps order bounded subsets to an $(L)$ sets. As a sequence characterization of such operators, we see that an operator $T : X \to E$ from a Banach space into a Banach lattice is order $Ł$ -Dunford-Pettis, if and only if $| T (x_{n}) | \to 0$ for $σ (E, E^{'})$ for every weakly null...

Approximation of positive operators and continuity of the spectral radius. II.

V. Caselles, F. Aràndiga (1992)

Mathematische Zeitschrift

Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice

Jolanta Socała (2003)

Annales Polonici Mathematici

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.

Asymptotic behaviour of some Markov operators appearing in mathematical models of biology

Igor Melicherčík (1998)

Mathematica Slovaca

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

Jolanta Socała (1998)

Annales Polonici Mathematici

Asymptotic convergence theorems for nonnegative operators on Banach lattices, on $L^{\infty}$ , on C(X) and on $L^{p} (1 \leq p < \infty)$ are proved. The general results are applied to a class of integral operators on L¹.

Asymptotic decomposition of smoothing positive operators

Jozef Komorník (1989)

Acta Universitatis Carolinae. Mathematica et Physica

Asymptotic periodicity of Markov operators on signed measures

Jozef Komorník, Erik G. F. Thomas (1991)

Mathematica Bohemica

A new criterion of asymptotic periodicity of Markov operators on $L^{1}$ , established in [3], is extended to the class of Markov operators on signed measures.

Asymptotic properties of Markov operators defined by Volterra type integrals

Karol Baron, Andrzej Lasota (1993)

Annales Polonici Mathematici

New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.

Asymptotic properties of the iterates of stochastic operators on (AL) Banach lattices

Wojciech Bartoszek (1990)

Annales Polonici Mathematici

Attractors and asymptotic periodicity of positive operators on Banach lattices.

Frank Räbiger (1995)

Forum mathematicum

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