Nonwandering operators in Banach space
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them. Firstly, we show some examples for nonwandering operators in some typical infinite-dimensional Banach spaces...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3895 |
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| _version_ | 1832545772712755200 |
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| author | Lixin Tian Jiangbo Zhou Xun Liu Guangsheng Zhong |
| author_facet | Lixin Tian Jiangbo Zhou Xun Liu Guangsheng Zhong |
| author_sort | Lixin Tian |
| collection | DOAJ |
| description | We introduce nonwandering operators in infinite-dimensional separable
Banach space. They are new linear chaotic operators and are relative to hypercylic
operators, but different from them. Firstly, we show some examples for nonwandering
operators in some typical infinite-dimensional Banach spaces, including Banach
sequence space and physical background space. Then we present some
properties of nonwandering operators and the spectra decomposition
of invertible nonwandering operators. Finally, we obtain that
invertible nonwandering operators are locally structurally stable. |
| format | Article |
| id | doaj-art-336c52a9cbb04926a33e022d2e0a75c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-336c52a9cbb04926a33e022d2e0a75c72025-02-03T07:24:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005243895390810.1155/IJMMS.2005.3895Nonwandering operators in Banach spaceLixin Tian0Jiangbo Zhou1Xun Liu2Guangsheng Zhong3Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang 212013, ChinaNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang 212013, ChinaNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang 212013, ChinaNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang 212013, ChinaWe introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them. Firstly, we show some examples for nonwandering operators in some typical infinite-dimensional Banach spaces, including Banach sequence space and physical background space. Then we present some properties of nonwandering operators and the spectra decomposition of invertible nonwandering operators. Finally, we obtain that invertible nonwandering operators are locally structurally stable.http://dx.doi.org/10.1155/IJMMS.2005.3895 |
| spellingShingle | Lixin Tian Jiangbo Zhou Xun Liu Guangsheng Zhong Nonwandering operators in Banach space International Journal of Mathematics and Mathematical Sciences |
| title | Nonwandering operators in Banach space |
| title_full | Nonwandering operators in Banach space |
| title_fullStr | Nonwandering operators in Banach space |
| title_full_unstemmed | Nonwandering operators in Banach space |
| title_short | Nonwandering operators in Banach space |
| title_sort | nonwandering operators in banach space |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3895 |
| work_keys_str_mv | AT lixintian nonwanderingoperatorsinbanachspace AT jiangbozhou nonwanderingoperatorsinbanachspace AT xunliu nonwanderingoperatorsinbanachspace AT guangshengzhong nonwanderingoperatorsinbanachspace |