Spectral properties of unbounded J-self-adjoint block operator matrices

Langer, Matthias and Strauss, Michael (2017) Spectral properties of unbounded J-self-adjoint block operator matrices. Journal of Spectral Theory, 7 (1). pp. 137-190. ISSN 1664-0403 (https://doi.org/10.4171/JST/158)

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Abstract

We study the spectrum of unbounded J-self-adjoint block operator matrices. In particular, we prove enclosures for the spectrum, provide a sufficient condition for the spectrum being real and derive variational principles for certain real eigenvalues even in the presence of non-real spectrum. The latter lead to lower and upper bounds and asymptotic estimates for eigenvalues.

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• Item metadata

  Item type:	Article
  ID code:	54531
  Dates:	Date Event 31 March 2017 Published 22 September 2015 Accepted
  Notes:	(c) European Mathematical Society
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	09 Oct 2015 15:27
  Last modified:	08 Apr 2024 22:34
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/54531