Quasi boundary triples and semibounded self-adjoint extensions

Jussi Behrndt; Matthias Langer; Vladimir Lotoreichik; Jonathan Rohleder

doi:10.1017/S0308210516000421

Quasi boundary triples and semibounded self-adjoint extensions

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, Jonathan Rohleder

Mathematics And Statistics

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Abstract

In this note semibounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. The main purpose is to provide new sufficient conditions on the parameters in the boundary space to induce self-adjoint realizations, and to relate the decay of the Weyl function to estimates on the lower bound of the spectrum. The abstract results are illustrated with uniformly elliptic second-order PDEs on domains with non-compact boundaries.

Original language	English
Pages (from-to)	895-916
Number of pages	22
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	147
Issue number	5
Early online date	28 Jun 2017
DOIs	https://doi.org/10.1017/S0308210516000421
Publication status	Published - 6 Oct 2017

Keywords

semi-bounded self-adjoint
symmetric operators
quasi boundary triples
Weyl functions

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10.1017/S0308210516000421

Behrndt-etal-PRSE2016-quasi-boundary-triples-and-semibounded-self-adjoint-extensionsAccepted author manuscript, 421 KB

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Quasi boundary triples and semibounded self-adjoint extensions

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