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Dual fusion frames

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Abstract

The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We show that with this definition in many cases dual fusion frames behave similar to dual frames. We present examples of non-canonical dual fusion frames.

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Authors and Affiliations

  1. Departamento de Matemática and IMAS, FCEyN, Universidad de Buenos Aires and CONICET, Pabellón I, Ciudad Universitaria, C1428EGA, Buenos Aires, Argentina

    S. B. Heineken

  2. Departamento de Matemática and IMASL, FCFMyN, Universidad Nacional de San Luis and CONICET, Ejército de los Andes 950, 5700, San Luis, Argentina

    P. M. Morillas

  3. Departamento de Matemática and IMASL, FCFMyN, Universidad Nacional de San Luis, Ejército de los Andes 950, 5700, San Luis, Argentina

    A. M. Benavente

  4. Departamento de Matemática, FCFMyN, Universidad Nacional de San Luis, Ejército de los Andes 950, 5700, San Luis, Argentina

    M. I. Zakowicz

Authors
  1. S. B. Heineken
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  2. P. M. Morillas
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  3. A. M. Benavente
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  4. M. I. Zakowicz
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Correspondence to S. B. Heineken.

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Heineken, S.B., Morillas, P.M., Benavente, A.M. et al. Dual fusion frames. Arch. Math. 103, 355–365 (2014). https://doi.org/10.1007/s00013-014-0697-2

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  • DOI: https://doi.org/10.1007/s00013-014-0697-2

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