Journal article
Operator-valued rational functions
Journal of functional analysis, Vol.283(9), 109640
11/01/2022
DOI: 10.1016/j.jfa.2022.109640
Abstract
Keywords Inner functions; Inner divisors; Blaschke-Potapov factor; Operator-valued rational functions We show that every inner divisor of the operator-valued coordinate function, zI.sub.E, is a Blaschke-Potapov factor. We also introduce a notion of operator-valued "rational" function and then show that [DELTA] is two-sided inner and rational if and only if it can be represented as a finite Blaschke-Potapov product; this extends to operator-valued functions the well-known result proved by V.P. Potapov for matrix-valued functions. Author Affiliation: (a) Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA (b) Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea (c) Department of Mathematics and RIM, Seoul National University, Seoul 08826, Republic of Korea * Corresponding author. Article History: Received 2 September 2021; Accepted 6 July 2022 (miscellaneous) Communicated by K. Seip Byline: Raúl E. Curto [raul-curto@uiowa.edu] (a,*), In Sung Hwang [ihwang@skku.edu] (b), Woo Young Lee [wylee@snu.ac.kr] (c)
Details
- Title: Subtitle
- Operator-valued rational functions
- Creators
- Raúl E CurtoIn Sung HwangWoo Young Lee
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.283(9), 109640
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.jfa.2022.109640
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Grant note
- DOI: 10.13039/501100003725, name: National Research Foundation of Korea, award: 2019R1A2C1005182, 2021R1A2C1005428
- Language
- English
- Date published
- 11/01/2022
- Description audience
- Academic
- Academic Unit
- Mathematics
- Record Identifier
- 9984284860202771
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