Hussein, A.; Krejčiřík, D.; Siegl, Petr (2015). Non-self-adjoint graphs. Transactions of the American Mathematical Society, 367(4), pp. 2921-2957. American Mathematical Society 10.1090/S0002-9947-2014-06432-5
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On finite metric graphs we consider Laplace operators, subject to various classes of non-self-adjoint boundary conditions imposed at graph vertices. We investigate spectral properties, existence of a Riesz basis of projectors and similarity transforms to self-adjoint Laplacians. Among other things, we describe a simple way to relate the similarity transforms between Laplacians on certain graphs with elementary similarity transforms between matrices defining the boundary conditions.
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: |
Siegl, Petr |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0002-9947 |
Publisher: |
American Mathematical Society |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
28 Dec 2015 13:19 |
Last Modified: |
05 Dec 2022 14:50 |
Publisher DOI: |
10.1090/S0002-9947-2014-06432-5 |
ArXiv ID: |
1308.4264v1 |
BORIS DOI: |
10.7892/boris.74319 |
URI: |
https://boris.unibe.ch/id/eprint/74319 |
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