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One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum. / Baranov, A.D.; Yakubovich, D.V.

In: Journal of Mathematical Analysis and Applications, No. 2, 2015, p. 1404-1424.

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Harvard

Baranov, AD & Yakubovich, DV 2015, 'One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum', Journal of Mathematical Analysis and Applications, no. 2, pp. 1404-1424. https://doi.org/10.1016/j.jmaa.2014.11.009

APA

Baranov, A. D., & Yakubovich, D. V. (2015). One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum. Journal of Mathematical Analysis and Applications, (2), 1404-1424. https://doi.org/10.1016/j.jmaa.2014.11.009

Vancouver

Baranov AD, Yakubovich DV. One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum. Journal of Mathematical Analysis and Applications. 2015;(2):1404-1424. https://doi.org/10.1016/j.jmaa.2014.11.009

Author

Baranov, A.D. ; Yakubovich, D.V. / One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum. In: Journal of Mathematical Analysis and Applications. 2015 ; No. 2. pp. 1404-1424.

BibTeX

@article{81db5162647540018d5d137e7457257b,
title = "One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum",
abstract = "{\textcopyright} 2014 Elsevier Inc.We study spectral properties of one-dimensional singular nonselfadjoint perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a perturbation of this type. A counterpart of our results for the case of bounded operators provides a complete description of compact selfadjoint operators whose rank one perturbation is a Volterra operator.",
author = "A.D. Baranov and D.V. Yakubovich",
year = "2015",
doi = "10.1016/j.jmaa.2014.11.009",
language = "English",
pages = "1404--1424",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum

AU - Baranov, A.D.

AU - Yakubovich, D.V.

PY - 2015

Y1 - 2015

N2 - © 2014 Elsevier Inc.We study spectral properties of one-dimensional singular nonselfadjoint perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a perturbation of this type. A counterpart of our results for the case of bounded operators provides a complete description of compact selfadjoint operators whose rank one perturbation is a Volterra operator.

AB - © 2014 Elsevier Inc.We study spectral properties of one-dimensional singular nonselfadjoint perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a perturbation of this type. A counterpart of our results for the case of bounded operators provides a complete description of compact selfadjoint operators whose rank one perturbation is a Volterra operator.

U2 - 10.1016/j.jmaa.2014.11.009

DO - 10.1016/j.jmaa.2014.11.009

M3 - Article

SP - 1404

EP - 1424

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

ID: 3999669