New Characterizations of Fusion Frames (Frames of Subspaces)

Proceedings Mathematical Sciences

Mohammad Sadegh Asgari¹ 

[1] Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Simayeiran St., Farahzadi Ave., West Town, Tehran, Iran$$

关键词: Frame;    fusion frame (frames of subspaces);    exact fusion frame;    Bessel fusion sequence;    orthonormal fusion basis;    pseudo-inverses.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this article, we give new characterizations of fusion frames, on the properties of their synthesis operators, on the behavior of fusion frames under bounded operators with closed range, and on erasures of subspaces of fusion frames. Furthermore we show that every fusion frame is the image of an orthonormal fusion basis under a bounded surjective operator.

【 授权许可】

Unknown