We prove the spaceability of the set of hypercyclic vectors for shift-like operators. Shift-like operators appear naturally as composition operators on L^p(X), when the underlying space X is dissipative. In the process of proving the main theorem, we provide, among other results of independent interest, a characterization of weakly mixing dissipative composition operators of bounded distortion.
On spaceability of shift-like operators on Lp
Maiuriello M.
2023-01-01
Abstract
We prove the spaceability of the set of hypercyclic vectors for shift-like operators. Shift-like operators appear naturally as composition operators on L^p(X), when the underlying space X is dissipative. In the process of proving the main theorem, we provide, among other results of independent interest, a characterization of weakly mixing dissipative composition operators of bounded distortion.File in questo prodotto:
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