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NON-SELF-ADJOINT GRAPHS
- 1.0443536 - ÚJF 2016 RIV US eng J - Journal Article
Hussein, A. - Krejčiřík, David - Siegl, P.
NON-SELF-ADJOINT GRAPHS.
American Mathematical Society. Transactions. Roč. 367, č. 4 (2015), s. 2921-2957. ISSN 0002-9947. E-ISSN 1088-6850
R&D Projects: GA ČR GAP203/11/0701
Institutional support: RVO:61389005
Keywords : Laplacians on metric graphs * non-self-adjoint boundary conditions * similarity transforms to self-adjoint operators * Riesz basis
Subject RIV: BE - Theoretical Physics
Impact factor: 1.196, year: 2015
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.
Permanent Link: http://hdl.handle.net/11104/0246226
Number of the records: 1