关于带算子的一些性质

数学物理学报 ›› 2025, Vol. 45 ›› Issue (3): 702-706.

关于带算子的一些性质

黄洁怡(),程娜^*()

西华大学理学院成都 610039

收稿日期:2024-05-17 修回日期:2025-01-26 出版日期:2025-06-26 发布日期:2025-06-20
通讯作者: *程娜, E-mail: chengnaanna@126.com
作者简介:黄洁怡, E-mail: hs836364617@126.com
基金资助:
国家自然科学基金(12301122)

Some Properties about Band Operators

Huang Jieyi(),Cheng Na^*()

School of Science, Xihua University, Chengdu 610039

Received:2024-05-17 Revised:2025-01-26 Online:2025-06-26 Published:2025-06-20
Supported by:
NSFC(12301122)

摘要/Abstract

摘要：

该文首先给出带算子与保带算子、带算子与正交射之间的关系, 其次利用 Riesz 空间中的 rich center 性质给出可逆带算子的逆是带算子的条件.

关键词: 带算子, 带算子的逆, 中心理想, 保带算子

Abstract:

The paper first gives the relationship between band operators and band preserving operators, band operators and orthomorphism, and second gives the condition that the inverse of an invertible band operator is a band operator by using the rich center property in Riesz spaces.

Key words: band operator, inverse of band operator, ideal center, band preserving operator

中图分类号:

O177

黄洁怡, 程娜. 关于带算子的一些性质[J]. 数学物理学报, 2025, 45(3): 702-706.

Huang Jieyi, Cheng Na. Some Properties about Band Operators[J]. Acta mathematica scientia,Series A, 2025, 45(3): 702-706.

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