ON THE STABILITY OF FUSION FRAMES (FRAMES OF SUBSPACES)

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

Abstract

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.

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

CLC Number:

42C15

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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