Abstract
In quantum physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be viewed as measurement algebras in which all measurements commute.
| Original language | English |
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| Pages (from-to) | 698 - 723 |
| Number of pages | 26 |
| Journal | Journal of Theoretical Physics |
| Volume | 45 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2006 |