近阶(L)集合的一些特征及其应用

IF 0.8 3区 数学 Q2 MATHEMATICS
Aziz Elbour, Fatima Zahrae El Hilali
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引用次数: 0

摘要

本文旨在建立几乎阶(L)集(分别为几乎(L)集)的几个特征。这些特征概括并修正了 K. El Fahri 和 F.Z. Oughajji 最近获得的特征。此外,我们还证明了几乎 (L) 集具有一些有趣的晶格逼近特性。其中,我们证明了当且仅当 \( E^{\prime }\) 的每个(L)集的凸实壳是一个(L)集时,巴拿赫网格 E 具有弱连续网格操作。此外,我们还研究了绝对弱连续算子的支配性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Some characterizations of almost order (L) sets and applications

Some characterizations of almost order (L) sets and applications

The purpose of this paper is to establish several characterizations of almost order (L) sets (respectively, almost (L) sets). These characterizations generalize and correct those obtained recently by K. El Fahri and F.Z. Oughajji. In addition, we show that the almost (L) sets enjoy some interesting lattice approximation properties. Among other things, we show that a Banach lattice E has weakly sequentially continuous lattice operations if and only if the convex solid hull of every (L) set of \( E^{\prime }\) is an (L) set. Moreover, we study the domination property for absolutely weakly sequentially continuous operators.

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来源期刊
Positivity
Positivity 数学-数学
CiteScore
1.80
自引率
10.00%
发文量
88
审稿时长
>12 weeks
期刊介绍: The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.
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