Translation-invariant operators continuous in measure |
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Authors: | Daniel M Oberlin |
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Institution: | Department of Mathematics, Florida State University, Tallahassee, Florida 32306 USA |
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Abstract: | Let G be a compact abelian group and let L(G) be the space of measurable functions on G, equipped with the topology of convergence in measure. The only continuous translation-invariant linear operators on L(G) are the finite linear combinations of the translations themselves. |
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