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ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)
引用本文:Mohammad Sadegh Asgari. ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)[J]. 数学物理学报(B辑英文版), 2011, 31(4): 1633-1642. DOI: 10.1016/S0252-9602
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    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. DOI: 10.1016/S0252-9602
Authors:Mohammad Sadegh Asgari
Affiliation: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
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