The spectral theorem for locally normal operators

Aurelian Gheondea
2018 Opuscula Mathematica  
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.
doi:10.7494/opmath.2018.38.5.597 fatcat:c2mk5bgtvfectilfxy5lvbb4yu