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arxiv: 1808.09523 · v2 · pith:L47XCUBAnew · submitted 2018-08-28 · 🧮 math.FA · math.OA

Chernoff Like Counterexamples Related to Unbounded Operators

classification 🧮 math.FA math.OA
keywords domainsquaretrivialunboundedwhoseadjointchernoffclosed
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In this paper, we give an example of a closed unbounded operator whose square's domain and adjoint's square domain are equal and trivial. Then, we come up with an essentially self-adjoint whose square has a trivial domain.

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