Langer, Heinz; Tretter, Christiane (2021). Maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators in Krein spaces. Journal of mathematical analysis and applications, 494(2), p. 124597. Elsevier 10.1016/j.jmaa.2020.124597
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In this paper we establish conditions for the existence of maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators. Our results allow for operators where all entries of the formal matrix representation induced by the indefinite metric are unbounded and they do not require any definiteness or J-dissipativity assumptions. As a consequence of the existence of invariant subspaces, we obtain an unexpected result on the accumulation of non-real eigenvalues at the real axis which is of independent interest. An application to some dissipative two-channel Hamiltonians illustrates this new phenomenon.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Tretter, Christiane |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0022-247X |
Publisher: |
Elsevier |
Funders: |
[42] Schweizerischer Nationalfonds |
Projects: |
Projects 169104 not found. |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
04 Feb 2022 16:38 |
Last Modified: |
05 Dec 2022 16:04 |
Publisher DOI: |
10.1016/j.jmaa.2020.124597 |
BORIS DOI: |
10.48350/164655 |
URI: |
https://boris.unibe.ch/id/eprint/164655 |
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