Affiliation:
1. University of Massachusetts
2. Slovak Academy of Sciences
Abstract
Abstract
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.
Cited by
14 articles.
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