Order Isomorphisms on Order Intervals of Atomic JBW-Algebras
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DOI: 10.1007/s00020-020-02590-9
Abstract: In this paper a full description of order isomorphisms between effect algebras of atomic JBW-algebras is given. We will derive a closed formula for the order isomorphisms on the effect algebra of type I factors… read more here.
Keywords: order; jbw algebras; atomic jbw; effect ... See more keywords
Tingley's problem through the facial structure of an atomic JBW⁎-triple
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.002
Abstract: Abstract We prove that every surjective isometry between the unit spheres of two atomic JBW⁎-triples E and B admits a unit extension to a surjective real linear isometry from E into B. This result constitutes… read more here.
Keywords: atomic jbw; problem facial; facial structure; tingley problem ... See more keywords