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<p><i>K</i>-<i>g</i>-frames are broader concepts that encompass <i>K</i>-frames and <i>g</i>-frames. In this paper, the new performance and construction of <i>K</i>-<i>g</i>-frames have been investigated. In addition, <i>K</i>-<i>g</i>-frames are characterized by using some properties of <i>K</i>-<i>g</i>-orthonormal bases. Finally, we have obtained some results regarding <i>K</i>-<i>g</i>-dual of a <i>g</i>-frame.</p>

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Some results on K-g-frames in Hilbert spaces

  • 期刊论文

  • 发表日期：

    2025年6月18日

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  • Asadollah Hosseinpour,
  • Jahangir Cheshmavar

摘要

K-g-frames are broader concepts that encompass K-frames and g-frames. In this paper, the new performance and construction of K-g-frames have been investigated. In addition, K-g-frames are characterized by using some properties of K-g-orthonormal bases. Finally, we have obtained some results regarding K-g-dual of a g-frame.