J4 ›› 2013, Vol. 48 ›› Issue (12): 75-79.

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Some equivalent conditions of supercyclicity of bounded linear operators

LIU Yang   

  1. Department of Mathematics and Information Science, Shaanxi Normal University, Xi’an  710062, Shaanxi, China
  • Received:2013-03-22 Online:2013-12-20 Published:2014-01-09

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Abstract:

Using the property of the topological uniform descent,  the judgement for an operator A∈SC(H) is given, which SC(H) denoted the norm-closure of the class of all the supercyclic operators on an infinite dimensional separable complex Hilbert space.

Key words: supercyclic operator; the topological uniform descent; the single valued extension property1

CLC Number: 

  • O177.2
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