Some properties of almost interval-preserving operators

被引：2

作者：

Bouras K. ^{[1
]}

Elbour A. ^{[1
]}

机构：

[1] Département de Mathématiques, Faculté polydisciplinaire, Université Abdelmalek Essaadi, B.P. 745, Larache

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2018年 / 67卷 / 1期

关键词：

Almost Dunford-Pettis operators; Almost interval-preserving operator; Almost limited operator; Lattice homomorphism operator; Limited operator; Order weakly compact operator;

D O I：

10.1007/s12215-016-0294-2

中图分类号：

学科分类号：

摘要：

In this paper, we give some results concerning almost interval-preserving (resp. lattice homomorphism) operators between Banach lattices. Also, it is proved that if T: E→ F a lattice homomorphism and F is σ-Dedekind complete, then T is almost limited if and only if T′ carries weak∗ convergent sequences of F′ onto L-weakly compact subsets of E′. Some related results are also obtained. © 2016, Springer-Verlag Italia.

引用

页码：67 / 73

页数：6

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