A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: invertibility and Riccati equations

DOI10.1016/j.jmaa.2023.127925arXiv2309.14698MaRDI QIDQ6187269

Gilbert J. Groenewald, André C. M. Ran, Sanne ter Horst, J. Jaftha

Publication date: 15 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.14698

zbMATH Keywords

Riccati equationsunbounded operatorsinvertibilityToeplitz operatorspseudo-canonical factorization

Mathematics Subject Classification ID

Operator theory (47-XX) Special classes of linear operators (47Bxx) General theory of linear operators (47Axx)

Cites Work

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• A state space approach to canonical factorization with applications
• Finite-dimensional Toeplitz kernels and nearly-invariant subspaces
• On the Spectra of Toeplitz's Matrices

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