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<p>The present paper concerns a generalized type of fusion frames in Hilbert spaces called (<i>p</i>,&#xa0;<i>q</i>)-continuous fusion frames. We study the behavior of a (<i>p</i>,&#xa0;<i>q</i>)-continuous Bessel fusion mapping in the presence of a (<i>q</i>,&#xa0;<i>p</i>)-continuous Bessel fusion mapping. This presence causes the appearance of some concepts such as duality and the erasure reconstruction error. Finally, the stability of (<i>p</i>,&#xa0;<i>q</i>)-continuous fusion frames under the different kinds of perturbations is focused.</p>

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Some properties of (p, q)-continuous fusion frames in Hilbert spaces

  • 期刊论文

  • 发表日期：

    2025年3月12日

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  • Morteza Mirzaee Azandaryani,
  • Zohreh Aghamir Mohammad Ali

摘要

The present paper concerns a generalized type of fusion frames in Hilbert spaces called (p, q)-continuous fusion frames. We study the behavior of a (p, q)-continuous Bessel fusion mapping in the presence of a (q, p)-continuous Bessel fusion mapping. This presence causes the appearance of some concepts such as duality and the erasure reconstruction error. Finally, the stability of (p, q)-continuous fusion frames under the different kinds of perturbations is focused.