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Krein-type theorems and ordered structure for Cauchy–de Branges spaces. / Abakumov, Evgeny; Baranov, Anton; Belov, Yurii.

In: Journal of Functional Analysis, Vol. 277, No. 1, 01.07.2019, p. 200-226.

Research output: Contribution to journal › Article › peer-review

Harvard

Abakumov, E, Baranov, A & Belov, Y 2019, 'Krein-type theorems and ordered structure for Cauchy–de Branges spaces', Journal of Functional Analysis, vol. 277, no. 1, pp. 200-226. https://doi.org/10.1016/j.jfa.2018.10.010

APA

Abakumov, E., Baranov, A., & Belov, Y. (2019). Krein-type theorems and ordered structure for Cauchy–de Branges spaces. Journal of Functional Analysis, 277(1), 200-226. https://doi.org/10.1016/j.jfa.2018.10.010

Vancouver

Abakumov E, Baranov A, Belov Y. Krein-type theorems and ordered structure for Cauchy–de Branges spaces. Journal of Functional Analysis. 2019 Jul 1;277(1):200-226. https://doi.org/10.1016/j.jfa.2018.10.010

Author

Abakumov, Evgeny ; Baranov, Anton ; Belov, Yurii. / Krein-type theorems and ordered structure for Cauchy–de Branges spaces. In: Journal of Functional Analysis. 2019 ; Vol. 277, No. 1. pp. 200-226.

BibTeX

@article{ef17f7d0fc3945239fbcc08fda3526f6,
title = "Krein-type theorems and ordered structure for Cauchy–de Branges spaces",
abstract = "We extend some results of M. G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new versions of de Branges' Ordering Theorem for nearly invariant subspaces in a class of Hilbert spaces of entire functions. Examples illustrating sharpness of the obtained results are given. We also discuss applications to spectral theory of rank one perturbations of normal operators.",
keywords = "Cartwright class, Cauchy transform, Entire function, Nearly invariant subspaces",
author = "Evgeny Abakumov and Anton Baranov and Yurii Belov",
year = "2019",
month = jul,
day = "1",
doi = "10.1016/j.jfa.2018.10.010",
language = "English",
volume = "277",
pages = "200--226",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Krein-type theorems and ordered structure for Cauchy–de Branges spaces

AU - Abakumov, Evgeny

AU - Baranov, Anton

AU - Belov, Yurii

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We extend some results of M. G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new versions of de Branges' Ordering Theorem for nearly invariant subspaces in a class of Hilbert spaces of entire functions. Examples illustrating sharpness of the obtained results are given. We also discuss applications to spectral theory of rank one perturbations of normal operators.

AB - We extend some results of M. G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new versions of de Branges' Ordering Theorem for nearly invariant subspaces in a class of Hilbert spaces of entire functions. Examples illustrating sharpness of the obtained results are given. We also discuss applications to spectral theory of rank one perturbations of normal operators.

KW - Cartwright class

KW - Cauchy transform

KW - Entire function

KW - Nearly invariant subspaces

UR - http://www.scopus.com/inward/record.url?scp=85056240864&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2018.10.010

DO - 10.1016/j.jfa.2018.10.010

M3 - Article

AN - SCOPUS:85056240864

VL - 277

SP - 200

EP - 226

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -

ID: 39817285