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arXiv · 2206.01303

Spaces of Bounded Measurable Functions Invariant Under a Group Action

Samuel A. Hokamp
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Abstract

In this paper we characterize spaces of $L^\infty$-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work generalizes the author's 2021 results concerning the specific case of unitarily and M\"obius invariant spaces of $L^\infty$-functions defined on the unit sphere in $\mathbb{C}^n$.

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Samuel A. Hokamp. 2022-06-02. Spaces of Bounded Measurable Functions Invariant Under a Group Action. https://arxiv.org/abs/2206.01303

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