n-supercyclic and strongly n-supercyclic operators in finite dimensions
نویسندگان
چکیده
منابع مشابه
n-supercyclic and strongly n-supercyclic operators in finite dimensions
We prove that on R , there is no n-supercyclic operator with 1 ≤ n < b 2 c i.e. if R has an n-dimensional subspace whose orbit under T ∈ L(R ) is dense in R , then n is greater than b 2 c. Moreover, this value is optimal. We then consider the case of strongly n-supercyclic operators. An operator T ∈ L(R ) is strongly n-supercyclic if R has an ndimensional subspace whose orbit under T is dense i...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2014
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm220-1-2