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- W2601847532 abstract "This paper answers two open problems raised by Mahlon M. Day [4] and James C.S. Wong [17]: Does uniformly topological left amenability imply the existence of left translation continuous measures on a locally compact semitopological semigroup? Let T be a locally compact Borel subsemigroup of a locally compact semitopological semigroup S. Is the existence of a topological T-invariant mean M on S with M(χT)>0 enough to imply the topological left amenability of T? We give a negative answer to the first question by providing a counterexample and a positive proof to the second. This example can also be used to show that the property (α) provided in Gerard L. Sleijpen [14] can not be removed in one of his results." @default.
- W2601847532 created "2017-04-07" @default.
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- W2601847532 date "2017-08-01" @default.
- W2601847532 modified "2023-09-30" @default.
- W2601847532 title "Two open problems of Day and Wong on left thick subsets and left amenability" @default.
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- W2601847532 doi "https://doi.org/10.1016/j.jmaa.2017.03.070" @default.
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