title: One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum
metadata.name: dc.contributor.author
metadata.value: Baranov, Anton
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-11T00:20:58Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-11T00:20:58Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-04-15
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: A.D. Baranov, D.V. Yakubovich, One-dimensional perturbations of unbounded  selfadjoint operators with empty spectrum, Journal of Mathematical Analysis and Applications, 424 (2015), 2, 1404-1424
metadata.lang: en_GB
metadata.name: dc.identifier.issn
metadata.value: 0022-247X
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2044
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: RFBR grants 11-01-00584-a, 14-01-00748-a and 13-01-91002-ANF-a
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Elsevier
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: selfadjoint operator, singular rank one perturbation, inner function, entire function, Krein class
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 1304.5800v1.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2044/1/1304.5800v1.pdf
resources.format: Adobe PDF
resources.size: 291,46 kB