TY  - JOUR
ID  - Gheondea2018
LB  - Gheondea2018
AU  - Gheondea, Aurelian
TI  - The spectral theorem for locally normal operators
ST  - The spectral theorem for locally normal operators
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 5
SP  - 597
EP  - 621
DO  - https://doi.org/10.7494/OpMath.2018.38.5.597
UR  - https://doi.org/10.7494/OpMath.2018.38.5.597
AB  - 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.
KW  - locally Hilbert space
KW  - locally \(C^*\)-algebra
KW  - locally normal operator
KW  - local projection
KW  - locally spectral measure
SN  - 1232-9274
ER  -