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- W4299952007 abstract "We generalize the notion of Lagrangian subspaces to self-orthogonal subspaces with respect to a (skew-)symmetric form, thus characterizing (skew-)self-adjoint and unitary operators by means of self-ortho-gonal subspaces. By orthogonality preserving mappings, these characterizations can be transferred to abstract boundary value spaces of (skew-)symmetric operators. Introducing the notion of boundary systems we then present a unified treatment of different versions of boundary triples and related concepts treated in the literature. The application of the abstract results yields a description of all (skew-)self-adjoint realizations of Laplace and first derivative operators on graphs." @default.
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- W4299952007 date "2013-08-12" @default.
- W4299952007 modified "2023-09-25" @default.
- W4299952007 title "Boundary systems and (skew-)self-adjoint operators on infinite metric graphs" @default.
- W4299952007 doi "https://doi.org/10.48550/arxiv.1308.2635" @default.
- W4299952007 hasPublicationYear "2013" @default.
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