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<p>A one to one correspondence is established between a class of positive real rational functions with finite dimensional Naimark realizations and the set of sequences of pairs consisting of a strictly positive operator and a skew symmetric operator on a non-increasing sequence of subspaces.</p>

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Finite Dimensional Naimark Realizations and Choice Sequences

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月20日

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  • A. E. Frazho,
  • A.C.M. Ran,
  • F. van Schagen

摘要

A one to one correspondence is established between a class of positive real rational functions with finite dimensional Naimark realizations and the set of sequences of pairs consisting of a strictly positive operator and a skew symmetric operator on a non-increasing sequence of subspaces.