JB-Algebras and Analytic Loos Symmetric Cones.
In: Southeast Asian Bulletin of Mathematics, Jg. 46 (2022-09-01), Heft 5, S. 619-631
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Zugriff:
In earlier papers the author has developed the theory of Loos symmetric cones, which are Loos symmetric spaces on an open cone in a Banach space, and developed the foundations of a geometric theory based on (modified) Loos axioms for such cones. Such cones present an abstract version of the cone of positive elements in a C*-algebra. In this paper the close connection between Loos symmetric cones and a special class of Jordan algebras called JB-algebras is developed. Recent work of C.-H. Chu is applied to show that every Loos symmetric cone arises as the cone of positive invertible elements of a unital JB-algebra and conversely that this JB-algebra is unique and can be constructed on the Banach space containing the Loos symmetric cone. [ABSTRACT FROM AUTHOR]
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JB-Algebras and Analytic Loos Symmetric Cones.
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Autor/in / Beteiligte Person: | Lawson, Jimmie |
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Zeitschrift: | Southeast Asian Bulletin of Mathematics, Jg. 46 (2022-09-01), Heft 5, S. 619-631 |
Veröffentlichung: | 2022 |
Medientyp: | academicJournal |
ISSN: | 0129-2021 (print) |
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