Hilbert空间和C*-模中的编织g-框架和编织g-帧的性质

IF 1.2 4区数学 Q1 MATHEMATICS

Acta Mathematica Scientia Pub Date : 2023-11-06 DOI:10.1007/s10473-023-0609-2

Amir Khosravi, Mohammad Reza Farmani

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引用次数: 0

摘要

本文利用Parseval框架将Sun的结果推广到Hilbert C*-模中的g-框架。此外，对于Hilbert空间中的g-框架，我们给出了一些关于框架族的刻画，而不仅仅是对于正交基。此外，我们在[D.Li et al.，On weaving g-frame for Hilbert space，Complex Analysis and Operator Theory，2020]中还注意到了5.3命题证明中的一个注释和一个关系。最后，我们得到了g-Riesz基、机织和P-机织g-框架的一些结果。

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Characteizations of woven g-frames and weaving g-frames in Hilbert spaces and C*-modules

In this paper, using Parseval frames we generalize Sun’s results to g-frames in Hilbert C*-modules. Moreover, for g-frames in Hilbert spaces, we present some characterizations in terms of a family of frames, not only for orthonormal bases. Also, we have a note about a comment and a relation in the proof of Proposition 5.3 in [D. Li et al., On weaving g-frames for Hilbert spaces, Complex Analysis and Operator Theory, 2020]. Finally, we have some results for g-Riesz bases, woven and P-woven g-frames.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.