Continuity of translation invariant linear functionals onC
0(G) for certain locally compact groupsG |
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| Authors: | G A Willis |
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| Institution: | (1) School of Mathematical Sciences, Flinders University of South Australia, 5042 Bedford Park, South Australia;(2) Adelaide |
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| Abstract: | LetG be either a non-amenable group or a compact group such that the trivial representation ofG is not weakly contained in the regular representation ofG onL
2
0
(G). Then every translation invariant linear functional onC
0(G) or onL
p
(G), where 1<p  , is continuous. |
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| Keywords: | |
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