f-Frequently hypercyclic $$C_{0}$$-semigroups on complex sectors
نویسندگان
چکیده
منابع مشابه
About Subspace-Frequently Hypercyclic Operators
In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-hypercyclicity criterion that implies subspace-frequent hypercyclicity and if an operator $T$ satisfies this criterion, then $Toplus T$ is sub...
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Let {Tt}t≥0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t > 0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup. This answers in the affirmative a natural question concerning hypercyclic C0-semigroups. The analogous result for frequent hypercyclicity is also obtained.
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ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2020
ISSN: 2662-2033,1735-8787
DOI: 10.1007/s43037-020-00053-2