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arXiv · 1909.05613

Observables on synaptic algebras

A. Jenčová·S. Pulmannová
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Abstract

Synaptic algebras, introduced by D. Foulis, generalize different algebraic structures used so far as mathematical models of quantum mechanics: the traditional Hilbert space approach, order unit spaces, Jordan algebras, effect algebras, MV-algebras, orthomodular lattices. We study sharp and fuzzy observables on two special classes of synaptic algebras: on the so called generalized Hermitian algebras and on synaptic algebras which are Banach space duals. Relations between fuzzy and sharp observables on these two types of synaptic algebras are shown.

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A. Jenčová, S. Pulmannová. 2019-09-12. Observables on synaptic algebras. https://arxiv.org/abs/1909.05613

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