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arXiv · 2110.12060

Spaces of Continuous and Measurable Functions Invariant under a Group Action

Samuel A. Hokamp
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Abstract

In this paper we characterize spaces of continuous and $L^p$-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work generalizes Nagel and Rudin's 1976 results concerning unitarily and M\"obius invariant spaces of continuous and measurable functions defined on the unit sphere in $\mathbb{C}^n$.

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Samuel A. Hokamp. 2021-10-22. Spaces of Continuous and Measurable Functions Invariant under a Group Action. https://arxiv.org/abs/2110.12060

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