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- W2999362834 abstract "We initiate the study of the forward and backward shifts on the Lipschitz space of an undirected tree, $$mathcal {L}$$, and on the little Lipschitz space of an undirected tree, $$mathcal {L}_0$$. We determine that the forward shift is bounded both on $$mathcal {L}$$ and on $$mathcal {L}_0$$ and, when the tree is leafless, it is an isometry; we also calculate its spectrum. For the backward shift, we determine when it is bounded on $$mathcal {L}$$ and on $$mathcal {L}_0$$, we find the norm when the tree is homogeneous, we calculate the spectrum for the case when the tree is homogeneous, and we determine, for a general tree, when it is hypercyclic." @default.
- W2999362834 created "2020-01-23" @default.
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- W2999362834 date "2020-01-14" @default.
- W2999362834 modified "2023-10-11" @default.
- W2999362834 title "The Forward and Backward Shift on the Lipschitz Space of a Tree" @default.
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- W2999362834 doi "https://doi.org/10.1007/s00020-019-2558-7" @default.
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