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Operator-valued rational functions
Cited 1 time in
Web of Science
Cited 2 time in Scopus
- Authors
- Issue Date
- 2022-11
- Publisher
- Academic Press
- Citation
- Journal of Functional Analysis, Vol.283 No.9, p. 109640
- Abstract
- We show that every inner divisor of the operator-valued coordinate function, zI(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. (C) 2022 Elsevier Inc. All rights reserved.
- ISSN
- 0022-1236
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