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Integration theory of observables

N. S. Kronfli

pp. 497-502

Representations of abstract observables on a generalised logic are given in terms of bounded vector-valued Borel measures on the real line whose ranges are in the dual space X* of the Banach space of states X. Each bounded observable is furthermore represented by an element u* of X* such that for any proper state pX, u*(p) is the expectation value of u when the system is in the state p.

Publication details

DOI: 10.1007/978-94-010-1795-4_26

Full citation:

Kronfli, N. S. (1975)., Integration theory of observables, in C. A. Hooker (ed.), The logico-algebraic approach to quantum mechanics I, Dordrecht, Springer, pp. 497-502.

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