Abstract
In this chapter we fill in details of some of the proofs given in Chapter 2. Also, new results are presented about subspaces and ideals in Jordan algebras that should help further the application of Jordan algebras in statistical problems generally. To assist in this latter task, our treatment of the material is designed to make the chapter largely self-contained, hence many of the definitions and first appearing in Chapter 2 are re-introduced, though more compactly. This chapter is unabashedly much more mathematical than any of the others, and unavoidably so, since the complete proofs of many of the results (previously just stated) are comparatively non-trivial. Many, but not all, of the results appearing here first appeared in Malley [1987].
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References for Chapter 3
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© 1994 Springer-Verlag New York, Inc.
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Malley, J.D. (1994). Further Technical Results on Jordan Algebras. In: Statistical Applications of Jordan Algebras. Lecture Notes in Statistics, vol 91. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2678-9_3
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DOI: https://doi.org/10.1007/978-1-4612-2678-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94341-1
Online ISBN: 978-1-4612-2678-9
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