Opuscula Math. 38, no. 5 (2018), 597-621
https://doi.org/10.7494/OpMath.2018.38.5.597

 
Opuscula Mathematica

The spectral theorem for locally normal operators

Aurelian Gheondea

Abstract. We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the concept of a locally spectral measure.

Keywords: locally Hilbert space, locally \(C^*\)-algebra, locally normal operator, local projection, locally spectral measure.

Mathematics Subject Classification: 47B15, 46A13, 46C05.

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Aurelian Gheondea, The spectral theorem for locally normal operators, Opuscula Math. 38, no. 5 (2018), 597-621, https://doi.org/10.7494/OpMath.2018.38.5.597

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