Nets of Extreme Banach Limits
نویسنده
چکیده
Let N be the set of natural numbers and let a: N -* N be an injection having no periodic points. Let M0 be the set of o-invariant means on lx. When / G lx let da(f) = sup X(/), where the supremum is taken over all X G M„. It is shown that when/ e lx, there is a sequence (\)TM=2 of extreme points of M„ which has no extreme weak* limit points and such that \s(f) = dQ(f) for s = 2, 3, .... As a consequence, the extreme points of Ma are not weak* compact.
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