Geodesic
Asymmetric decompositions of vectors in $JB\sp *$-algebras
Archivum mathematicum, Tome 42 (2006) no. 2, pp. 159-166.

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By investigating the extent to which variation in the coefficients of a convex combination of unitaries in a unital $JB^{*}$-algebra permits that combination to be expressed as convex combination of fewer unitaries of the same algebra, we generalise various results of R. V. Kadison and G. K. Pedersen. In the sequel, we shall give a couple of characterisations of $JB^{*}$-algebras of $tsr\ 1$.
Classification : 17C65, 46K70, 46L70
Keywords: $C^{*}$-algebras; Jordan algebras; $JB^{*}$-algebras; unitary isotopes 
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     title = {Asymmetric decompositions of vectors in $JB\sp *$-algebras},
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     zbl = {1164.46342},
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Siddiqui, Akhlaq A. Asymmetric decompositions of vectors in $JB\sp *$-algebras. Archivum mathematicum, Tome 42 (2006) no. 2, pp. 159-166. http://geodesic.mathdoc.fr/item/ARM_2006__42_2_a6/