Convex combinations of unitaries in -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Akhlaq A. Siddiqui (2013)
Archivum Mathematicum
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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 -algebra permits the vector decomposable as convex combination of fewer unitaries; certain -algebra results due to M. Rørdam have been extended to the general setting of -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Introduction. The aim of this paper is to review some relevant results concerning the geometry of nonassociative normed algebras, without assuming in the first instance that such algebras satisfy any familiar identity, like associativity, commutativity, or Jordan axiom. In the opinion of the author, the most impressive fact in this direction is that most of the celebrated natural geometric conditions that can be required for associative normed algebras, when imposed on...
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