On Multi Subspace-Hypercyclic Operators
Commun. Korean Math. Soc.
Published online August 27, 2020
Mansooreh Moosapoor
Farhangian University
Abstract : In this paper, we introduce and peruse multi subspace-hypercyclic operators and prove that multi-hypercyclic operators are multi subspace-hypercyclic. We show that if T is M-hypercyclic or multi M-hypercyclic, then Tn is multi M-hypercyclic for any natural number n and by using this result, make some examples of multi subspace-hypercyclic operators.
We prove that multi M-hypercyclic operators have somewhere dense orbits in M. We show that analytic Toeplitz operators can not be multi subspace-hypercyclic. Also, we state a sufficient condition for coanalytic Toeplitz operators to be multi subspace-hypercyclic.
Keywords : subspace-hypercyclic operators, multi-hypercyclic op- erators, multi subspace-hypercyclic operators, Toeplitz operators.
MSC numbers : 47A16, 47B37, 37B99.
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