A note on operator perturbation of woven frames

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-12-10 DOI:10.3792/pjaa.97.017

Zhong-Qi Xiang, Xiang-Chun Xiao

引用次数: 1

Abstract

: In this paper, we give a necessary and suﬃcient condition under which a woven frame can be preserved when applying an operator to it, which provides a correction to one existing corresponding result due to Rahimi et al. We also present some new results on the stability of woven frames under perturbation of two diﬀerent operators.

查看原文本刊更多论文

关于机织架算子摄动的注记

在本文中，我们给出了对织造框架应用算子时可以保留织造框架的一个充分必要条件，这对Rahimi等人的一个已有的对应结果提供了一个修正。在两种不同算子的摄动下，给出了织构稳定性的一些新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.