Finite Dimensional Naimark Realizations and Choice Sequences

Abstract 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.

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Publication Details

Journal
Integral Equations and Operator Theory
Published
2026-05-20
DOI
https://doi.org/10.1007/s00020-026-02836-y
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
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article

Finite Dimensional Naimark Realizations and Choice Sequences

A.C.M. Ran, F. van Schagen, A. E. Frazho
Integral Equations and Operator Theory
Holomorphic and Operator Theory
article

Finite Dimensional Naimark Realizations and Choice Sequences

A.C.M. Ran, F. van Schagen, A. E. Frazho
article en

Abstract

Abstract 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.

Integral Equations and Operator TheoryVol. 98(2)
Reduced inequalities
Openalex Percentile: Top 2%
Holomorphic and Operator Theory
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