Non-negative perturbations of non-negative self-adjoint operators

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dc.creatorAdamyan, Vadym
dc.date2007-01-02
dc.date.accessioned2026-07-07T07:39:06Z
dc.date.available2026-07-07T07:39:06Z
dc.descriptionLet $A$ be a non-negative self-adjoint operator in a Hilbert space $\mathcal{H}$ and $A_{0}$ be some densely defined closed restriction of $A_{0}$, $A_{0}\subseteq A \neq A_{0}$. It is of interest to know whether $A$ is the unique non-negative self-adjoint extensions of $A_{0}$ in $\mathcal{H}$. We give a natural criterion that this is the case and if it fails, we describe all non-negative extensions of $A_{0}$. The obtained results are applied to investigation of non-negative singular point perturbations of the Laplace and poly-harmonic operators in $\mathbb{L}_{2}(\mathbf{R}_{n})$.
dc.description08 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0701004
dc.identifierhttp://arxiv.org/abs/math-ph/0701004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121325
dc.subjectMathematical Physics
dc.subject47A63, 47B25; 47B65
dc.titleNon-negative perturbations of non-negative self-adjoint operators
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