巴拿赫网格上的 b-AM-Dunford-Pettis 算子

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-04-06 DOI:10.1007/s11785-024-01523-3

Hamadi Baklouti, Mohamed Hajji, Radhouene Moulahi

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引用次数: 0

摘要

在我们的研究工作中，我们引入了一类新的算子，我们称之为 b-AM-Dunford-Pettis 算子。我们将研究 b-AM-Dunford-Pettis 算子的性质、b-AM-Dunford-Pettis 算子与各类算子之间的关系。另一方面，我们的技术和结果将与 b-AM-Dunford-Pettis 算子的晶格结构相关。例如，我们将证明，在某些条件下，b-AM-Dunford-Pettis 算子验证了支配性质。

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b-AM-Dunford–Pettis Operators on Banach lattices

In our research work, we introduce a new class of operators that we call b-AM-Dunford–Pettis operators. Properties of b-AM-Dunford–Pettis operators, the relationship between the b-AM-Dunford–Pettis operators and various classes of operators are investigated. On the other side, our techniques and results will be related to the lattice structure of the b-AM-Dunford–Pettis operators. For instance, it will be proved that under certain conditions, the b-AM-Dunford–Pettis opertors verify the domination properties.

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.