Year: 2022
Type: preprint
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 Möbius invariant spaces of $L^\infty$-functions defined on the unit sphere in $\mathbb{C}^n$.
Source: arXiv (Cornell University)
Author: Hokamp, Samuel A.
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4281750841