Regular Gleason Measures and Generalized Effect Algebras

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Authors	DVUREČENSKIJ Anatolij JANDA Jiří
Year of publication	2015
Type	Article in Periodical
Magazine / Source	International Journal of Theoretical Physics
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1007/s10773-015-2509-2
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.
Related projects:	Mathematical structures and their physical applications