J4 ›› 2011, Vol. 46 ›› Issue (11): 81-88.

• Articles • Previous Articles     Next Articles

The topologically stability of a non-wandering operator

WANG Ming-gang, XU Hua   

  1. College of Taizhou, Nanjing Normal University, Taizhou 225300, Jiangsu, China
  • Received:2010-12-01 Online:2011-11-20 Published:2011-11-30

Abstract:

The stability of a non-wandering operator is studied by introducing filtration and nocycle condition in infinite dimensional separable Banach space. Some examples of filtration and no-cycle condition in infinite dimensional separable Banach space are shown. Then a sufficient condition for a non-wandering vector manifold to be stable is given.
 

Key words: non-wandering operator; hyper-cyclic operator; filtration; no-cycle condition; topologically stability

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