J4 ›› 2012, Vol. 47 ›› Issue (10): 102-104.
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LI Meng-qiao, ZHAO Xian-feng*, SHU Yong-lu
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Abstract:
By considering the operator norm topology and strong operator topology, the relationships between the left multiplication mapping and a supercyclic operator T are discussed, and a sufficient condition for T to have supercyclic subspace is also obtained.
Key words: supercyclic operator; left multiplication mapping; supercyclicity criterion; supercyclic subspace
LI Meng-qiao, ZHAO Xian-feng*, SHU Yong-lu. Supercyclic subspace of a separable Banach space[J].J4, 2012, 47(10): 102-104.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2012/V47/I10/102
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