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- W4287592188 abstract "By the linearization property of Lipschitz-free spaces, any Lipschitz map $f : M to N$ between two pointed metric spaces may be extended uniquely to a bounded linear operator $widehat{f} : mathcal F(M) to mathcal F(N)$ between their corresponding Lipschitz-free spaces. In this note, we explore the connections between the dynamics of Lipschitz self-maps $f : M to M$ and the linear dynamics of their extensions $widehat{f} : mathcal F(M) to mathcal F(M)$. This not only allows us to relate topological dynamical systems to linear dynamical systems but also provide a new class of hypercyclic operators acting on Lipschitz-free spaces." @default.
- W4287592188 created "2022-07-25" @default.
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- W4287592188 date "2020-11-21" @default.
- W4287592188 modified "2023-10-16" @default.
- W4287592188 title "On the dynamics of Lipschitz operators" @default.
- W4287592188 doi "https://doi.org/10.48550/arxiv.2011.10800" @default.
- W4287592188 hasPublicationYear "2020" @default.
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