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A generalization of spin factors

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arxiv 2003.12315 v6 pith:K5DK7OOK submitted 2020-03-27 math.FA

classification math.FA
keywords spacesconvexfactorsgeneralizationlinearnormedorderspin
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Using a technique of adjoining an order unit to a normed linear space, we have characterized strictly convex spaces among normed linear spaces and Hilbert spaces among strictly convex Banach spaces respectively. This leads to a generalization of spin factors and provides a new class of absolute order unit spaces.

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Cited by 2 Pith papers

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