On spaceability of shift-like operators on L

نویسندگان

چکیده

We prove the spaceability of set hypercyclic vectors for shift-like operators. Shift-like operators appear naturally as composition on Lp(X), when underlying space X is dissipative. In process proving main theorem, we provide, among other results independent interest, a characterization weakly mixing dissipative bounded distortion.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2023.127177