Wiener-Hopf indices of unimodular functions on the unit circle, revisited

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

Publikováno v: In Linear Algebra and Its Applications 15 September 2024 697:201-231

Toeplitz operators from a higher point of view: contraction-structured operators

Autor: Frazho, A.E., Kaashoek, Rien, van Schagen, F

Publikováno v: Frazho, A E, Kaashoek, R & van Schagen, F 2022, ' Toeplitz operators from a higher point of view: contraction-structured operators ', Pure and Applied Functional Analysis, vol. 7, no. 1, pp. 253-270 . < http://yokohamapublishers.jp/online2/oppafa/vol7/p253.html >
Pure and Applied Functional Analysis, 7(1), 253-270

This paper is concerned with self-adjoint Hilbert space operators Tthat have a special displacement structure depending on a given contraction A.It allows one to view the operator T as a compression of a self-adjoint Toeplitzoperator. The main issue

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::cf18217044fe6ede77d0336595ee8744
https://hdl.handle.net/1871.1/ab33b50d-f9e5-4e74-a015-b7d868d3a63d

Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane

Autor: Frazho, A.E., Ran, A.C.M., Bastos, M. Amélia, Castro, Luís, Karlovich, Alexei Yu.

Publikováno v: Frazho, A E & Ran, A C M 2021, Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane . in M A Bastos, L Castro & A Y Karlovich (eds), Operator Theory, Functional Analysis and Applications . Operator Theory: Advances and Applications, vol. 282, Springer Science and Business Media Deutschland GmbH, pp. 219-233 . https://doi.org/10.1007/978-3-030-51945-2_11
Operator Theory, Functional Analysis and Applications ISBN: 9783030519445
Operator Theory, Functional Analysis and Applications, 219-233
STARTPAGE=219;ENDPAGE=233;TITLE=Operator Theory, Functional Analysis and Applications

© 2021, Springer Nature Switzerland AG.The main purpose of this note is to use operator methods to solve a rational inner-outer factorization problem for wide functions. It is believed that this will provide valuable insight into the inner-outer fac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8587e63d0bdb192082ee98612aaa3e0
https://hdl.handle.net/1871.1/7d5145f2-99a8-4f7f-90b6-0f80e8a97962

AN INTERTWINING PROPERTY FOR POSITIVE TOEPLITZ OPERATORS

Autor: BISWAS, A., FOIAŞ, C., FRAZHO, A.E.

Publikováno v: Journal of Operator Theory, 2005 Oct 01. 54(2), 269-290.

Externí odkaz: https://www.jstor.org/stable/24715687

State space formulas for a suboptimal rational Leech problem II: Parametrization of all solutions

Autor: Frazho, A.E., ter Horst, S., Kaashoek, M.A.

Publikováno v: Frazho, A E, ter Horst, S & Kaashoek, M A 2015, ' State space formulas for a suboptimal rational Leech problem II: Parametrization of all solutions ', Operator Theory: Advances and Applications, vol. 244, pp. 149-179 . https://doi.org/10.1007/978-3-319-10335-8_8
Operator Theory: Advances and Applications, 244, 149-179

For the strictly positive case (the suboptimal case), given stable rational matrix functions $G$ and $K$, the set of all $H^\infty$ solutions $X$ to the Leech problem associated with $G$ and $K$, that is, $G(z)X(z)=K(z)$ and $\sup_{|z|\leq 1}\|X(z)\|

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab83d32868e1753cfd88baacc1441383
https://hdl.handle.net/1871.1/228ccb92-d0b1-4519-9d05-31a28996e202