Informace o publikaci
Regular Gleason Measures and Generalized Effect Algebras
| Autoři | |
|---|---|
| Rok publikování | 2015 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Theoretical Physics |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s10773-015-2509-2 |
| Obor | Obecná matematika |
| Klíčová slova | Hilbert space; Measure; Regular measure; sigma additive measure; Gleason measure; Generalized effect algebra; Bilinear form; Singular bilinear form; Regular bilinear form; Monotone convergence |
| Popis | 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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