Work

Finite Dimensional Naimark Realizations and Choice Sequences

Year: 2026

Type: article

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.

Source: Integral Equations and Operator Theory

DOI: 10.1007/s00020-026-02836-y

Authors: A. E. Frazho, A.C.M. Ran, F. van Schagen

Institutions: Purdue University West Lafayette, North-West University, Vrije Universiteit Amsterdam

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: National Research Foundation