The induction sequences of generalized tight frame vectors for unitary semi-group acting on Hilbert K-modules

DONG Fangfang; PEI Ruichang

doi:10.13471/j.cnki.acta.snus.2020A056

您当前的位置：

首页 >

文章列表页 >

The induction sequences of generalized tight frame vectors for unitary semi-group acting on Hilbert K-modules

Research articles | 更新时间：2023-11-01

- The induction sequences of generalized tight frame vectors for unitary semi-group acting on Hilbert K-modules
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 61, Issue 4, Pages: 183-188(2022)
- 作者机构：
  
  天水师范学院数学与统计学院，甘肃天水 741001
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2020A056
  CLC： O177.1
- Published：25 July 2022，
  
  Published Online：07 January 2022，
  
  Received：16 October 2020，
  
  Accepted：17 December 2020
扫描看全文
董芳芳,裴瑞昌.Hilbert K-模上酉半群的广义紧框架向量的诱导序列[J].中山大学学报(自然科学版),2022,61(04):183-188.

DONG Fangfang,PEI Ruichang.The induction sequences of generalized tight frame vectors for unitary semi-group acting on Hilbert K-modules[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(04):183-188.
董芳芳,裴瑞昌.Hilbert K-模上酉半群的广义紧框架向量的诱导序列[J].中山大学学报(自然科学版),2022,61(04):183-188. DOI： 10.13471/j.cnki.acta.snus.2020A056.

DONG Fangfang,PEI Ruichang.The induction sequences of generalized tight frame vectors for unitary semi-group acting on Hilbert K-modules[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(04):183-188. DOI： 10.13471/j.cnki.acta.snus.2020A056.

摘要

引入了Hilbert K-模上酉系统的换位，广义标准正交和诱导序列等概念，研究了广义框架变换和正交投影的关系，得到了关于广义紧框架向量的一个充要条件以及其对应的诱导序列的一个重要结论。

Abstract

The concepts of transposition for unitary system， generalized orthonormal and induction sequence are introduced.And the relationship between generalized frame transform and orthogonal projection is studied. Finally， the necessary and sufficient conditions of generalized tight frames vectors and the important conclusion about their induction sequence are obtained.

关键词

Hilbert K-模酉系统换位广义紧框架向量诱导序列

Keywords

Hilbert K-moduleunitary systemtranspositiongeneralized tight frame vectorinduction sequence

references

BAKIC D， GULJAŠ B. Hilbert C*-modules over C*-algebras of compact operators ［J］. Acta Sci Math （Szeged）， 2002， 68（1/2）： 249-269.

SUN W C. G-frames and g-Riesz bases ［J］. Math Anal Appl， 2006， 322（1）： 437-452.

YAO X Y. Perturbations of g-frames in Hilbert spaces ［J］. Journal of Mathematical Research and Exposition， 2008， 28（4）： 1037-1041.

肖秀梅，孟彬，靳世华. Hilbert K-模上的g-框架的稳定性［J］. 南京大学学报（数学半年刊），2010， 27（1）： 105-115.

FRANK M， LARSON D R. Frames in Hilbert C*-modules and C*-algebras ［J］. Operator Theory， 2002， 48： 203-233.

董芳芳. Hilbert K-模上广义框架的不相交性［J］. 中山大学学报（自然科学版），2014，53（2）： 148-152.

董芳芳. Hilbert K-模上酉群的框架表示［J］. 数学进展，2008，37（3）： 374-380.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

Fangfang DONG

Ruichang PEI

Related Institution

No data

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰