Self-Adjoint Extension of Symmetric Maps

2011/02/08 by Friedel, H. N.
#46C05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1102.1739

Abstract

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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