Li-Yorke chaotic eigen set of the backward shift operator on ℓ2()
In this paper, we prove our main result that the Li-Yorke chaotic eigen set of a positive integer multiple of the backward shift operator on ℓ2 () is a disk in the complex plane and the union of such Li-Yorke chaotic eigen set’s is the whole complex plane .
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| Format: | Article |
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De Gruyter
2020-10-01
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| Series: | Concrete Operators |
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| Online Access: | http://www.degruyter.com/view/j/conop.2020.7.issue-1/conop-2020-0105/conop-2020-0105.xml?format=INT |
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doaj-d3cdbc221b5942f194f43e4d3082c5c22020-11-25T03:58:27ZengDe GruyterConcrete Operators2299-32822020-10-017118018210.1515/conop-2020-0105conop-2020-0105Li-Yorke chaotic eigen set of the backward shift operator on ℓ2()Sanooj B.0Vinodkumar P.B.1Department of Mathematics, College of Engineering Trivandrum, Thiruvananthapuram, APJ Abdul Kalam Technological University, IndiaCentre for Topology and Applications, Department of Mathematics, Rajagiri School of Engineering and Technology, Kochi, APJ Abdul Kalam Technological University, IndiaIn this paper, we prove our main result that the Li-Yorke chaotic eigen set of a positive integer multiple of the backward shift operator on ℓ2 () is a disk in the complex plane and the union of such Li-Yorke chaotic eigen set’s is the whole complex plane .http://www.degruyter.com/view/j/conop.2020.7.issue-1/conop-2020-0105/conop-2020-0105.xml?format=INTli-yorke chaoseigen setbackward shiftirregular vectors |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sanooj B. Vinodkumar P.B. |
| spellingShingle |
Sanooj B. Vinodkumar P.B. Li-Yorke chaotic eigen set of the backward shift operator on ℓ2() Concrete Operators li-yorke chaos eigen set backward shift irregular vectors |
| author_facet |
Sanooj B. Vinodkumar P.B. |
| author_sort |
Sanooj B. |
| title |
Li-Yorke chaotic eigen set of the backward shift operator on ℓ2() |
| title_short |
Li-Yorke chaotic eigen set of the backward shift operator on ℓ2() |
| title_full |
Li-Yorke chaotic eigen set of the backward shift operator on ℓ2() |
| title_fullStr |
Li-Yorke chaotic eigen set of the backward shift operator on ℓ2() |
| title_full_unstemmed |
Li-Yorke chaotic eigen set of the backward shift operator on ℓ2() |
| title_sort |
li-yorke chaotic eigen set of the backward shift operator on ℓ2() |
| publisher |
De Gruyter |
| series |
Concrete Operators |
| issn |
2299-3282 |
| publishDate |
2020-10-01 |
| description |
In this paper, we prove our main result that the Li-Yorke chaotic eigen set of a positive integer multiple of the backward shift operator on ℓ2 () is a disk in the complex plane and the union of such Li-Yorke chaotic eigen set’s is the whole complex plane . |
| topic |
li-yorke chaos eigen set backward shift irregular vectors |
| url |
http://www.degruyter.com/view/j/conop.2020.7.issue-1/conop-2020-0105/conop-2020-0105.xml?format=INT |
| work_keys_str_mv |
AT sanoojb liyorkechaoticeigensetofthebackwardshiftoperatoronl2 AT vinodkumarpb liyorkechaoticeigensetofthebackwardshiftoperatoronl2 |
| _version_ |
1724457284558389248 |