Supercyclicity and Resolvent Condition for Weighted Composition Operators
نویسندگان
چکیده
For pairs of holomorphic maps $(u,\psi)$ on the complex plane, we study some dynamical properties weighted composition operator $W_{(u,\psi)}$ Fock spaces. We prove that no spaces is supercyclic. Conditions under which operators satisfy Ritt's resolvent growth condition are also identified. In particular, show a non-trivial satisfies such if and only it compact.
منابع مشابه
Weighted Composition Operators and Supercyclicity Criterion
The vector x is called supercyclic for T ifC orb T, x is dense inH. Also a supercyclic operator is one that has a supercyclic vector. For some sources on these topics, see 1–16 . Let H be a separable Hilbert space of functions analytic on a plane domain G such that, for each λ in G, the linear functional of evaluation at λ given by f → f λ is a bounded linear functional on H. By the Riesz repre...
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ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2021
ISSN: ['2195-3724', '1617-9447']
DOI: https://doi.org/10.1007/s40315-021-00380-x