| ON THE STABILITY OF FUSION FRAMES （FRAMES OF SUBSPACES） |
| |
| 作者姓名： | Mohammad Sadegh Asgari |
| |
| 作者单位： | Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Central Tehran Branch |
| |
| 摘 要： | A frame is an orthonormal basis-like collection of vectors in a Hilbert space, but need not be a basis or orthonormal. A fusion frame (frame of subspaces) is a frame-like collection of subspaces in a Hilbert space, thereby constructing a frame for the whole space by joining sequences of frames for subspaces. Moreover the notion of fusion frames provide a framework for applications and providing efficient and robust information processing algorithms.In this paper we study the conditions under which removing an element from a fusion frame, again we obtain another fusion frame. We give another proof of 5, Corollary 3.3(iii)] with extra information about the bounds.
|
| 关 键 词： | 子空间 Hilbert空间 稳定性 帧 空间框架 应用程序 信息处理 外信息 |
On the stability of fusion frames (frames of subspaces) |
| |
| Mohammad Sadegh Asgari.On the stability of fusion frames (frames of subspaces)[J].Acta Mathematica Scientia,2011,31(4):1633-1642. |
| |
| Authors: | Mohammad Sadegh Asgari |
| |
| Institution: | Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Central Tehran Branch, Tehran, Iran |
| |
| Abstract: | A frame is an orthonormal basis-like collection of vectors in a Hilbert space, but need not be a basis or orthonormal. A fusion frame (frame of subspaces) is a frame-like collection of subspaces in a Hilbert space, thereby constructing a frame for the whole space by joining sequences of frames for subspaces. Moreover the notion of fusion frames provide a framework for applications and providing efficient and robust information processing algorithms. In this paper we study the conditions under which removing an element from a fusion frame, again we obtain another fusion frame. We give another proof of 5, Corollary 3.3(iii)] with extra information about the bounds. |
| |
| Keywords: | fusion frames (frames of subspaces) exact fusion frame dual fusion frames |
| 本文献已被 CNKI 维普 ScienceDirect 等数据库收录！ |
