Affiliation:
1. Emeritus Professor of Mathematics and Statistics, University of Massachusetts, Boston, USA
Abstract
Abstract
A synaptic algebra is both a special Jordan algebra and a spectral order-unit normed space satisfying certain natural conditions suggested by the partially ordered Jordan algebra of bounded Hermitian operators on a Hilbert space. The adjective “synaptic”, borrowed from biology, is meant to suggest that such an algebra coherently “ties together” the notions of a Jordan algebra, a spectral order-unit normed space, a convex effect algebra, and an orthomodular lattice.
Cited by
19 articles.
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1. Observables on synaptic algebras;Fuzzy Sets and Systems;2021-02
2. Synaptic Algebras as Models for Quantum Mechanics;International Journal of Theoretical Physics;2019-02-21
3. Corrigendum to Banach synaptic algebras;International Journal of Theoretical Physics;2018-09-20
4. Kadison’s antilattice theorem for a synaptic algebra;Demonstratio Mathematica;2018-01-25
5. Spectral Order on a Synaptic Algebra;Order;2018-01-16