Existence of disjoint weakly mixing operators that fail to satisfy the Disjoint Hypercyclicity Criterion
نویسندگان
چکیده
منابع مشابه
(non-)weakly Mixing Operators and Hypercyclicity Sets
We study the frequency of hypercyclicity of hypercyclic, non–weakly mixing linear operators. In particular, we show that on the space `(N), any sublinear frequency can be realized by a non–weakly mixing operator. A weaker but similar result is obtained for c0(N) or `(N), 1 < p <∞. Part of our results is related to some Sidon-type lacunarity properties for sequences of natural numbers.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.03.063