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- W3135742364 abstract "In this article, subspace-recurrent operators are presented and it is showed that the set of subspace-transitive operators is a strict subset of the set of subspace-recurrent operators. We demonstrate that despite subspace-transitive operators and subspace-hypercyclic operators, subspace-recurrent operators exist on finite dimensional spaces. We establish that operators that have a dense set of periodic points are subspace-recurrent. Especially, if $T$ is an invertible chaotic or an invertible subspace-chaotic operator, then $T^{n}$, $T^{-n}$ and $lambda T$ are subspace-recurrent for any positive integer $n$ and any scalar $lambda$ with absolute value $1$. Also, we state a subspace-recurrence criterion." @default.
- W3135742364 created "2021-03-15" @default.
- W3135742364 creator A5010846281 @default.
- W3135742364 date "2021-02-26" @default.
- W3135742364 modified "2023-10-16" @default.
- W3135742364 title "On Subspace-recurrent Operators" @default.
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- W3135742364 doi "https://doi.org/10.5556/j.tkjm.53.2022.3579" @default.
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