Publication details

Regular Gleason Measures and Generalized Effect Algebras



Year of publication 2015
Type Article in Periodical
Magazine / Source International Journal of Theoretical Physics
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Hilbert space; Measure; Regular measure; sigma additive measure; Gleason measure; Generalized effect algebra; Bilinear form; Singular bilinear form; Regular bilinear form; Monotone convergence
Description We study measures, finitely additive measures, regular measures, and sigma additive measures that can attain even infinite values on the quantum logic of a Hilbert space. We show when particular classes of non-negative measures can be studied in the frame of generalized effect algebras.
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