Some remarks on measures on orthogonal rational projections and the rational sphere

D. Kh. Mushtari

Kazan State University, Faculty of Mechanics and Mathematics

Abstract: We examine measures on the quantum logic of all projections with rational $n\times n$-matrices and on its sublogic generated by all projections onto one-dimensional subspaces in $\mathbb Q^n$ passing through elements of the unit sphere in $\mathbb Q^n$.

Keywords: Gleason theorem, quantum logic, projection, measure, rational sphere.

Received: 30.11.2001

Language: English

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