``Localized'' self-adjointness of Schrödinger type operators on Riemannian manifolds. (Q1404917)
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scientific article; zbMATH DE number 1970527
| Language | Label | Description | Also known as |
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| English | ``Localized'' self-adjointness of Schrödinger type operators on Riemannian manifolds. |
scientific article; zbMATH DE number 1970527 |
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``Localized'' self-adjointness of Schrödinger type operators on Riemannian manifolds. (English)
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25 August 2003
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In the paper the selfadjointness of Schrödinger-type operators defined on a complete Riemannian manifold is proven. For the potential it is necessary that it is an element of \(L^1_{\text{Loc}}\). The main assumption is the existence of a smooth positive measure, which is fixed independently of the metric.
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complete Riemannian manifold
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Schrödinger operator
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selfadjointness
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