对巴拿赫网格间算子的贡献

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-09-05 DOI:10.1007/s11117-024-01081-0

Hassan Khabaoui, Jawad H’michane, Kamal El Fahri

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引用次数: 0

摘要

在本文中，我们介绍并研究了一类与巴拿赫网格上的规范有界集相关的新算子，它汇集了几类算子（如 o 弱紧凑算子、b 弱紧凑算子、M 弱紧凑算子、L 弱紧凑算子和近似邓福德-佩提斯算子）。作为应用，我们发现了这些类算子的一些新的格近似性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A contribution to operators between Banach lattices

In this paper we introduce and study a new class of operators related to norm bounded sets on Banach Lattices and which brings together several classes of operators (as o-weakly compact, b-weakly compact, M-weakly compact, L-weakly compact and almost Dunford–Pettis operators). As applications, we find some new lattice approximation properties of these classes of operators.

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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

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.