Self-Adjoint Extension of Symmetric Maps

Details Self-Adjoint Extension of Symmetric Maps Self-Adjoint Extension of Symmetric Maps

2011-02-08

arxiv.org/abs/1102.1739v1

Mathematics

Functional Analysis

3 pages

Scientific paper

A densely-defined symmetric linear map from/to a real Hilbert space extends
to a self-adjoint map. Extension is expressed via Riesz representation. For a
case including Friedrichs extension of a strongly monotone map, self-adjoint
extension is unique, and equals closure of the given map.

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