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The cardinality of the set of left invariant means on topological semigroups
Published online by Cambridge University Press: 17 April 2009
Abstract
For a very large class of topological semigroups, we establish lower and upper bounds for the cardinality of the set of left invariant means on the space of left uniformly continuous functions. In certain cases we show that such a cardinality is exactly , where b is the smallest cardinality of the covering of the underlying topological semigroup by compact sets.
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- Copyright © Australian Mathematical Society 1988
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