ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)

doi:10.1016/S0252-9602(11)60349-4

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1633-1642.doi: 10.1016/S0252-9602(11)60349-4

ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)

Mohammad Sadegh Asgari

Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Central Tehran Branch, Tehran, Iran

收稿日期:2008-07-12 修回日期:2010-03-29 出版日期:2011-07-20 发布日期:2011-07-20

ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)

Mohammad Sadegh Asgari

Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Central Tehran Branch, Tehran, Iran

Received:2008-07-12 Revised:2010-03-29 Online:2011-07-20 Published:2011-07-20

摘要/Abstract

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: fusion frames (frames of subspaces), exact fusion frame, dual fusion frames

Abstract:

Key words: fusion frames (frames of subspaces), exact fusion frame, dual fusion frames

中图分类号:

42C15

Mohammad Sadegh Asgari. ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)[J]. 数学物理学报(英文版), 2011, 31(4): 1633-1642.

Mohammad Sadegh Asgari. ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)[J]. Acta mathematica scientia,Series B, 2011, 31(4): 1633-1642.

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ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)

ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)

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