Nonwandering operators in Banach space | Zendy

Lixin Tian | Zendy; Jiangbo Zhou | Zendy; Xun Liu | Zendy; Guangsheng Zhong | Zendy

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Nonwandering operators in Banach space

Author(s) -

Lixin Tian,

Jiangbo Zhou,

Xun Liu,

Guangsheng Zhong

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3895

Subject(s) - mathematics , invertible matrix , separable space , banach space , pure mathematics , operator theory , approximation property , sequence (biology) , space (punctuation) , linear operators , discrete mathematics , mathematical analysis , computer science , bounded function , operating system , biology , genetics

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 Banachsequence space and physical background space. Then we present someproperties of nonwandering operators and the spectra decompositionof invertible nonwandering operators. Finally, we obtain thatinvertible nonwandering operators are locally structurally stable

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