On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence
Keyword(s):
A regular Borel measure μ is said to be r*-invariant on a locally compact semigroup if μ(Ba-1) = μ(B) for all Borel sets B and points a of S, where Ba-1 ={xϵS, xaϵB}. In [1] Argabright conjectured that the support of an r*-invariant measure on a locally compact semigroup is a left group, Mukherjea and Tserpes [4] proved this conjecture in the case that the measure is finite; however their method of proof fails when the measure is infinite.
1970 ◽
Vol 11
(4)
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pp. 417-420
1970 ◽
Vol 2
(Part_4)
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pp. 651-659
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1987 ◽
Vol 30
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pp. 273-281
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1964 ◽
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pp. 273-286
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1983 ◽
Vol 93
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pp. 181-188
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1969 ◽
Vol s2-1
(1)
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pp. 249-259
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1972 ◽
Vol 39
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pp. 327-331
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1980 ◽
Vol 23
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pp. 305-312
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