几乎是Dunford-Pettis p收敛算子

IF 0.8 Q2 MATHEMATICS Advances in Operator Theory Pub Date : 2024-12-27 DOI:10.1007/s43036-024-00413-x

Halimeh Ardakani, Fateme Vali

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引用次数: 0

摘要

本文研究了与弱p紧和几乎Dunford-Pettis序列相关的两类算子，称为几乎Dunford-Pettis p收敛算子和弱几乎p收敛算子。用几乎Dunford-Pettis p收敛算子和弱几乎p收敛算子刻画了Banach格的一些性质，p阶的弱Dunford-Pettis性质和p阶的强相对紧化Dunford-Pettis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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Almost Dunford–Pettis p-convergent operators

In this paper two classes of operators related to weakly p-compact and almost Dunford–Pettis sequences which will be called almost Dunford–Pettis p-convergent operators and weak almost p-convergent operators are studied. Some properties of Banach lattices, the weak Dunford–Pettis property of order p and the strong relatively compact Dunford–Pettis property of order p are characterized in terms of almost Dunford–Pettis p-convergent and weak almost p-convergent operators.

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来源期刊

Advances in Operator Theory MATHEMATICS-

CiteScore

1.60

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0.00%

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