J4 ›› 2011, Vol. 46 ›› Issue (11): 81-88.
• Articles •
WANG Ming-gang, XU Hua
The stability of a non-wandering operator is studied by introducing filtration and nocycle 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.
non-wandering operator; hyper-cyclic operator; filtration; no-cycle condition; topologically stability
WANG Ming-gang, XU Hua. The topologically stability of a non-wandering operator[J].J4, 2011, 46(11): 81-88.
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