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Keywords:
$C^{*}$-algebra; $JB^{*}$-algebra; unit ball; invertible element; unitary element; unitary isotope; convex hull; unitary rank; unitary convex decomposition
$C^{*}$-algebra; $JB^{*}$-algebra; unit ball; invertible element; unitary element; unitary isotope; convex hull; unitary rank; unitary convex decomposition
Summary:
By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital $JB^{*}$-algebra permits the vector decomposable as convex combination of fewer unitaries; certain $ C^{*}$-algebra results due to M. Rørdam have been extended to the general setting of $JB^{*}$-algebras.
References:
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