Spaces of Bounded Measurable Functions Invariant Under a Group Action

2022/06/02 by Samuel A. Hokamp, Hokamp, Samuel A.
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2206.01303

openalex publication_date 2022/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 generalizes the author's 2021 results concerning the specific case of unitarily and Möbius invariant spaces of L^∞-functions defined on the unit sphere in ℂⁿ.

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