Regular Gleason Measures and Generalized Effect Algebras

Published 22 Jul 2014 in math-ph and math.MP | (1407.5968v1)

Abstract: 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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