Publication details
Regular Gleason Measures and Generalized Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Theoretical Physics |
| MU Faculty or unit | |
| 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. |
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