关于几乎bs -紧算子类中的支配问题的一个开放问题

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2025-04-18 DOI:10.1007/s13370-025-01300-1

Mohamed Hajji

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引用次数: 0

摘要

本论文的目的是给出[Almost BS-compact operators and domination problem, Mediterr.J. Math.18, 258 (2021)].更准确地说，我们证明了如果巴拿赫晶格 E 上的正算子 R 被一个近似 BS-紧密算子 \(T: E \rightarrow E\) 支配，那么 \(R^2\) 就是近似 BS-紧密的。

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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On an open question concerning the domination problem in the class of almost BS-compact operators

The goal of this note is to give a positive answer to the problem 4.11 in [Almost BS-compact operators and domination problem, Mediterr. J. Math. 18, 258 (2021)]. More precisely, we proved that if a positive operator R on a Banach lattice E is dominated by an almost BS-compact operator \(T: E \rightarrow E\), then \(R^2\) is almost BS-compact.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量