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In this paper, we characterize spaces of L∞-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work is analogous to established results… Click to show full abstract
In this paper, we characterize spaces of L∞-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work is analogous to established results concerning invariant spaces of continuous and measurable functions on a compact Hausdorff space. The case for L∞-functions cannot be proved in the same way when endowed with the norm-topology, but a similar argument can be used when the space of L∞-functions is given the weak*-topology, as we show in this paper.
Keywords:
topology;
measurable functions;
group action;
spaces bounded
Journal Title: Axioms
Year Published: 2022
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2022
Link to full text (if available)
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recommendations!