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Lookup NU author(s): Emeritus Professor Mihai Putinar
This is the authors' accepted manuscript of an article that has been published in its final definitive form by Duke University Press, 2019.
For re-use rights please refer to the publisher's terms and conditions.
In resonance to a recent geometric framework proposed by Dou- glas and Yang, a functional model for certain linear bounded operators with rank-one self-commutator acting on a Hilbert space is developed. By taking ad- vantage of the rened existing theory of the principal function of a hyponormal operator we transfer the whole action outside the spectrum, on the resolvent of the underlying operator, localized at a distinguished vector. The whole con- struction turns out to rely on an elementary algebra body involving analytic multipliers and Cauchy transforms. A natural eld
Author(s): Gustafsson B, Putinar M
Publication type: Article
Publication status: Published
Journal: Banach Journal of Mathematical Analysis
Year: 2019
Volume: 13
Issue: 2
Pages: 338-358
Online publication date: 28/01/2019
Acceptance date: 25/11/2018
Date deposited: 25/11/2018
ISSN (electronic): 1735-8787
Publisher: Duke University Press
URL: https://doi.org/10.1215/17358787-2018-0041
DOI: 10.1215/17358787-2018-0041
