Commutativity in a synaptic algebra

In: Mathematica Slovaca, vol. 66, no. 2

David Foulis - Sylvia Pulmannová

Detaily:

Rok, strany: 2016, 469 - 482

Kľúčové slová:

synaptic algebra, quasi-commutativity, derivation, norm compatibility, standard synaptic algebra

DOI: https://doi.org/10.1515/ms-2015-0151

O článku:

A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. For a synaptic algebra we study two weakened versions of commutativity, namely quasi-commutativity and operator commutativity, and we give natural conditions on the synaptic algebra so that each of these conditions is equivalent to commutativity. We also investigate the structure of a commutative synaptic algebra, prove that a synaptic algebra is commutative if and only if it is a vector lattice, and provide a functional representation for a commutative synaptic algebra.

Ako citovať:

ISO 690:

Foulis, D., Pulmannová, S. 2016. Commutativity in a synaptic algebra. In Mathematica Slovaca, vol. 66, no.2, pp. 469-482. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0151

APA:

Foulis, D., Pulmannová, S. (2016). Commutativity in a synaptic algebra. Mathematica Slovaca, 66(2), 469-482. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0151

O vydaní:

Publikované: 1. 4. 2016