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arxiv: 1107.3799 · v1 · pith:3FVNXH3Rnew · submitted 2011-07-19 · 🧮 math.FA

Measurable centres in convolution semigroups

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keywords centreconvolutionmeasurablecentrescoincidescompactcontinuityelement
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In a convolution semigroup over a locally compact group, measurability of the translation by a fixed element implies continuity. In other words, the measurable centre coincides with the topological centre.

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