期刊论文详细信息
Mathematica Slovaca | |
Regular elements in generalized hermitian algebras | |
David Foulis1  Sylvia Pulmannová1  | |
关键词: GH-algebra; effect; projection; orthomodular lattice; order-unit space; carrier projection; comparability property; square root; absolute value; spectral resolution; spectrum; regular element; C-block; | |
DOI : 10.2478/s12175-011-0002-9 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912080690835ZK.pdf | 261KB | download |