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Hilbert space methods in the theory of Jordan algebras. I

Published online by Cambridge University Press:  24 October 2008

C. Viola Devapakkiam
C. Viola Devapakkiam
Affiliation:
The Ramanujan Institute, University of Madras, Madras 5 (India)
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Extract

In this paper, we study the structure of certain infinite-dimensional Jordan algebras admitting an inner product. These algebras, called J*-algebras in the sequel, have already been considered in (4) in connexion with the norm uniqueness problem for non-associative algebras. We deal here with the structure and classification of these algebras. Existence of self-adjoint idempotents plays a central role in the classification problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 2 , September 1975 , pp. 293 - 300
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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