Author:
Foulis David J.,Pulmannová Sylvia
Abstract
Abstract
We prove that if A is a synaptic algebra and the orthomodular lattice P of projections in A is complete, then A is a factor if and only if A is an antilattice.We also generalize several other results of R. Kadison pertaining to infima and suprema in operator algebras.
Reference18 articles.
1. theorem and functional calculus for a generalized Hermitian algebra;Foulis;Rep Math Phys,2017
2. Compact Convex Sets and Boundary Integrals st ed Springer - Verlag New York;Alfsen,1971
3. Convex linear effect algebras;Gudder;Rep Math Phys,1999
4. in a synaptic algebra;Foulis;Math Slovaca,2016
5. Projections in a synaptic algebra;Foulis;Order,2010
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献