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Synaptic algebras

In: Mathematica Slovaca, vol. 60, no. 5
David Foulis
Detaily:
Rok, strany: 2010, 631 - 654
Kľúčové slová:
spectral order-unit normed space, special Jordan algebra, convex effect algebra, orthomodular lattice, generalized Hermitian algebra, convex effect algebra, projections, square roots, carriers, absolute value, polar decoposition, quadratic mapping, Sasa
O článku:
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.
Ako citovať:
ISO 690:
Foulis, D. 2010. Synaptic algebras. In Mathematica Slovaca, vol. 60, no.5, pp. 631-654. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0037-3

APA:
Foulis, D. (2010). Synaptic algebras. Mathematica Slovaca, 60(5), 631-654. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0037-3
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