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New characterizations of fusion frames (frames of subspaces)

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Simayeiran St., Farahzadi Ave., West Town, Tehran, Iran

    Mohammad Sadegh Asgari

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  1. Mohammad Sadegh Asgari
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Correspondence to Mohammad Sadegh Asgari.

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Asgari, M.S. New characterizations of fusion frames (frames of subspaces). Proc Math Sci 119, 369–382 (2009). https://doi.org/10.1007/s12044-009-0036-x

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  • DOI: https://doi.org/10.1007/s12044-009-0036-x

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