New characterizations of fusion frames (frames of subspaces)

被引:0
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作者
Mohammad Sadegh Asgari
机构
[1] Islamic Azad University,Department of Mathematics, Faculty of Science
[2] Central Tehran Branch,undefined
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关键词
Frame; fusion frame (frames of subspaces); exact fusion frame; Bessel fusion sequence; orthonormal fusion basis; pseudo-inverses;
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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.
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页码:369 / 382
页数:13
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