Abstract
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.
Originalsprache | englisch |
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Seiten (von - bis) | 2921-2957 |
Seitenumfang | 37 |
Fachzeitschrift | Transactions of the American Mathematical Society |
Jahrgang | 367 |
Ausgabenummer | 4 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Apr. 2015 |
Extern publiziert | Ja |
ASJC Scopus subject areas
- Allgemeine Mathematik
- Angewandte Mathematik