| R^n上测度双K框架 |
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| 引用本文： | 尚蒙娟,朱玉灿. R^n上测度双K框架[J]. 福州大学学报(自然科学版), 2021, 49(6): 727-731 |
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| 作者姓名： | 尚蒙娟 朱玉灿 |
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| 作者单位： | 福建省福州市福州大学数学与计算机科学学院,福建省福州市福州大学数学与计算机科学学院 |
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| 基金项目： | 福建省自然科学基金项目《交换空间与非交换空间上的框架理论》，项目编号：2020J01496 |
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| 摘 要： | 我们引入测度双K-框架的定义,研究任给一个测度双K-框架添加测度Bessel序列后使之成为紧测度K-框架；讨论在算子K_1和K_2是关于算子T相似等价的条件下, 测度双K_1-框架经算子T扰动后成为测度双K_2-框架; 研究不同空间的测度双K-框架在有界线性算子扰动下的稳定性.
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| 关 键 词： | 测度框架 紧测度 K-框架 测度双 K-框架. |
| 收稿时间： | 2020-10-05 |
| 修稿时间： | 2020-11-23 |
Measure double K-frame in R^n |
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| SHANG Meng-juan and ZHU Yu-can. Measure double K-frame in R^n[J]. Journal of Fuzhou University(Natural Science Edition), 2021, 49(6): 727-731 |
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| Authors: | SHANG Meng-juan and ZHU Yu-can |
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| Affiliation: | College of Mathematics and Computer Science,Fuzhou University,Fuzhou,College of Mathematics and Computer Science,Fuzhou University,Fuzhou |
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| Abstract: | In this paper, we introduce the definition of a measure double K-frame, and study any measure double K-frame to be made a tight measure K-frame by adding a measure Bessel sequence. We also discuss that the measure double K_1-frame becomes a measure double K_2-frame under the operator T perturbation,where the operators K_1 and K_2 are similar to operator T, and study the stability of a measure double K-frame in different spaces under bounded linear operator perturbation. |
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| Keywords: | measure frame tight measure K-frame measure double K-frame. |
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