%A WANG Ming-gang, XU Hua %T The topologically stability of a non-wandering operator %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 81-88 %V 46 %N 11 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_1314.shtml} %8 2011-11-20 %X

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.