Abstract
In this chapter we will give a characterization of the state spaces of JB-algebras and of normal state spaces of JBW-algebras. As a preliminary step, we will characterize the normal state spaces of JBW-factors of type I. (This includes as a special case a characterization of the normal state space ofβ(H).)
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© 2003 Springer Science+Business Media New York
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Alfsen, E.M., Shultz, F.W. (2003). Characterization of Jordan Algebra State Spaces. In: Geometry of State Spaces of Operator Algebras. Mathematics: Theory & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0019-2_9
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DOI: https://doi.org/10.1007/978-1-4612-0019-2_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6575-7
Online ISBN: 978-1-4612-0019-2
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