The extreme points of symmetric norms on R^2
Date
2008-01-01
Authors
Khemphet, Anchalee
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Justin Peters
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Mathematics
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Abstract
Let CG be a set of symmetric norms on R2 such that p(0, 1) = p(1, 0) = 1 for any norm
p in CG. Our questions are: Do the extreme points of CG exist? What are all the extreme
points of CG? To answer these questions, compactness plays an important role in completing
the sufficient conditions of known theorems. Results show that CG has extreme points and all
its extreme points are found.
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Tue Jan 01 00:00:00 UTC 2008