Titlebook: Geometry of State Spaces of Operator Algebras; Erik M. Alfsen,Frederic W. Shultz Textbook 2003 Springer Science+Business Media New York 20

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Ueber die elektrische Beleuchtung,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 of.

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Characterization of Jordan Algebra State SpacesIn 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 of.

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978-1-4612-6575-7Springer Science+Business Media New York 2003

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Erik M. Alfsen,Frederic W. ShultzGives a quick introduction to Jordan algebras; no previous knowledge is assumed and all necessary background on the subject is given.A discussion of dynamical correspondences, which tie together Lie a

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Textbook 2003ves an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and resul

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JBW-algebrasn isomorphism, and to show that skew order derivations are in fact Jordan derivations. We prove that every JBW-algebra has a unique predual consisting of the normal linear function-als. Then we develop some basic facts about JW-algebras (a-weakly closed subalgebras of β.and we finish this chapter wi