ON SPECTRAL THEORY IN EFFECT ALGEBRAS
Eissa D. Habil, Hossam F. Abu Lamdy · 2012
If one supposes a quantum logic Lto be a ˙-effect algebra, then the observables on Lare identified with the L-valued measures defined on the Borel subsets of the real line. In this structure (and without the aid of Hilbert spaceformalism) we show that (1) the spectrum of an observable Acan be completely characterized by studying theobservable (A )