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

A.E. Frazho; A.C.M. Ran

doi:10.1007/978-3-030-51945-2_11

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

A.E. Frazho, A.C.M. Ran

Mathematics

Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review

50 Downloads (Pure)

Abstract

© 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 factorization problem. Our approach involves Wiener–Hopf operators, Hankel operators and invariant subspaces for the backward shift. It should be emphasized that the formulas for the inner and outer factor are derived in a computational manner.

Original language	English
Title of host publication	Operator Theory, Functional Analysis and Applications
Editors	M. Amélia Bastos, Luís Castro, Alexei Yu. Karlovich
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	219-233
Number of pages	15
ISBN (Electronic)	9783030519452
ISBN (Print)	9783030519445, 9783030519476
DOIs	https://doi.org/10.1007/978-3-030-51945-2_11
Publication status	Published - 2021

Publication series

Name	Operator Theory: Advances and Applications
Volume	282
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Access to Document

10.1007/978-3-030-51945-2_11

Frazho-Ran2021_Chapter_InnerOuterFactorizationOfWideRationalMatrixFinal published version, 233 KBLicence: Article 25fa Dutch Copyright Act

Persistent URL (handle)

Copy link address

Cite this

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 (pp. 219-233). (Operator Theory: Advances and Applications; Vol. 282). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-51945-2_11

@inbook{7d5145f299a84f7f90b60f80e8a97962,

title = "Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane",

abstract = "{\textcopyright} 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 factorization problem. Our approach involves Wiener–Hopf operators, Hankel operators and invariant subspaces for the backward shift. It should be emphasized that the formulas for the inner and outer factor are derived in a computational manner.",

author = "A.E. Frazho and A.C.M. Ran",

year = "2021",

doi = "10.1007/978-3-030-51945-2_11",

language = "English",

isbn = "9783030519445",

series = "Operator Theory: Advances and Applications",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "219--233",

editor = "Bastos, {M. Am{\'e}lia} and Lu{\'i}s Castro and Karlovich, {Alexei Yu.}",

booktitle = "Operator Theory, Functional Analysis and Applications",

}

Frazho, AE & Ran, ACM 2021, Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane. in MA Bastos, L Castro & AY 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

Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane. / Frazho, A.E.; Ran, A.C.M.
Operator Theory, Functional Analysis and Applications. ed. / M. Amélia Bastos; Luís Castro; Alexei Yu. Karlovich. Springer Science and Business Media Deutschland GmbH, 2021. p. 219-233 (Operator Theory: Advances and Applications; Vol. 282).

Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review

TY - CHAP

T1 - Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane

AU - Frazho, A.E.

AU - Ran, A.C.M.

PY - 2021

Y1 - 2021

N2 - © 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 factorization problem. Our approach involves Wiener–Hopf operators, Hankel operators and invariant subspaces for the backward shift. It should be emphasized that the formulas for the inner and outer factor are derived in a computational manner.

AB - © 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 factorization problem. Our approach involves Wiener–Hopf operators, Hankel operators and invariant subspaces for the backward shift. It should be emphasized that the formulas for the inner and outer factor are derived in a computational manner.

U2 - 10.1007/978-3-030-51945-2_11

DO - 10.1007/978-3-030-51945-2_11

M3 - Chapter

SN - 9783030519445

SN - 9783030519476

T3 - Operator Theory: Advances and Applications

SP - 219

EP - 233

BT - Operator Theory, Functional Analysis and Applications

A2 - Bastos, M. Amélia

A2 - Castro, Luís

A2 - Karlovich, Alexei Yu.

PB - Springer Science and Business Media Deutschland GmbH

ER -

Frazho AE, Ran ACM. Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane. In Bastos MA, Castro L, Karlovich AY, editors, Operator Theory, Functional Analysis and Applications. Springer Science and Business Media Deutschland GmbH. 2021. p. 219-233. (Operator Theory: Advances and Applications). Epub 2021 Apr 1. doi: 10.1007/978-3-030-51945-2_11

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

Abstract

Publication series

Access to Document

Persistent URL (handle)

Fingerprint

Cite this