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We survey results on orbits of closed range operators defined by the action of Banach-Lie groups associated with symmetrically normed ideals. Then, we adapt these results to describe the geometric structure of the set of all frames for subspaces of a Hilbert space that are equivalent by means of invertible operators associated with a symmetrically normed ideal.

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Restricted Orbits of Closed Range Operators

  • 会议论文

  • 发表日期：

    2025年

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  • Eduardo Chiumiento,
  • Pedro Massey

摘要

We survey results on orbits of closed range operators defined by the action of Banach-Lie groups associated with symmetrically normed ideals. Then, we adapt these results to describe the geometric structure of the set of all frames for subspaces of a Hilbert space that are equivalent by means of invertible operators associated with a symmetrically normed ideal.