@Article{Gheondea2018, author = "Gheondea, Aurelian", title = "The spectral theorem for locally normal operators", journal = "Opuscula Math.", year = "2018", volume = "38", number = "5", pages = "597--621", doi = "https://doi.org/10.7494/OpMath.2018.38.5.597", url = "https://doi.org/10.7494/OpMath.2018.38.5.597", 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", issn = "1232-9274" }