The spectral theorem for locally normal operators

Gheondea, Aurelian2019-02-212019-02-2120181232-9274http://hdl.handle.net/11693/50462We 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.Englishinfo:eu-repo/semantics/openAccessLocal projectionLocally C∗-algebraLocally Hilbert spaceLocally normal operatorLocally spectral measureThe spectral theorem for locally normal operatorsArticle10.7494/OpMath.2018.38.5.597