In: Mathematica Slovaca, vol. 61, no. 2
David Foulis - Sylvia Pulmannová
Details:
Year, pages: 2011, 155 - 172
Keywords:
GH-algebra, effect, projection, orthomodular lattice, order-unit space, carrier projection,
comparability property, square root, absolute value, spectral resolution, spectrum, regular element, C-block
About article:
A generalized Hermitian (GH) algebra is a special Jordan algebra that is at the same time a spectral order-unit space. In this paper we characterize the von Neumann regular elements in a GH-algebra, relate maximal pairwise commuting subsets of the algebra to blocks in its projection lattice, and prove a Gelfand-Naimark type representation theorem for commutative GH-algebras.
How to cite:
ISO 690:
Foulis, D., Pulmannová, S. 2011. Regular elements in generalized Hermitian algebras. In Mathematica Slovaca, vol. 61, no.2, pp. 155-172. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0002-9
APA:
Foulis, D., Pulmannová, S. (2011). Regular elements in generalized Hermitian algebras. Mathematica Slovaca, 61(2), 155-172. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0002-9
About edition: