Extreme points and the diameter norm

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Abstract

Let A be a point-separating closed linear subspace of C(X), X compact, which contains the constants. We characterize the extreme points of the closed unit ball of A when endowed with the diameter (semi) norm. © 2004 Rocky Mountain Mathematics Consortium.

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Font, J. J., & Sanchis, M. (2004). Extreme points and the diameter norm. Rocky Mountain Journal of Mathematics, 34(4), 1325–1331. https://doi.org/10.1216/rmjm/1181069802

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