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- W4297046455 abstract "Let $X_{pi}$ be the subspace of fixed vectors for a uniformly bounded representation $pi$ of a group $G$ on a Banach space $X$. We study the problem of the existence and uniqueness of a subspace $Y$ that complements $X_{pi}$ in $X$. Similar questions for $G$-invariant complement to $X_{pi}$ are considered. We prove that every non-amenable discrete group $G$ has a representation with non-complemented $X_{pi}$ and find some conditions that provide an $G$-invariant complement. A special attention is given to representations on $C(K)$ that arise from an action of $G$ on a metric compact $K$." @default.
- W4297046455 created "2022-09-26" @default.
- W4297046455 creator A5025176715 @default.
- W4297046455 date "2015-09-17" @default.
- W4297046455 modified "2023-09-27" @default.
- W4297046455 title "On subspaces of invariant vectors" @default.
- W4297046455 doi "https://doi.org/10.48550/arxiv.1509.05263" @default.
- W4297046455 hasPublicationYear "2015" @default.
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