首页|MEAN SENSITIVITY AND BANACH MEAN SENSITIVITY FOR LINEAR OPERATORS
MEAN SENSITIVITY AND BANACH MEAN SENSITIVITY FOR LINEAR OPERATORS
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Let(X,T)be a linear dynamical system,where X is a Banach space and T:X →X is a bounded linear operator.This paper obtains that(X,T)is sensitive(Li-Yorke sensitive,mean sensitive,syndetically mean sensitive,respectively)if and only if(X,T)is Banach mean sensitive(Banach mean Li-Yorke sensitive,thickly multi-mean sensitive,thickly syndetically mean sensitive,respectively).Several examples are provided to distinguish between different notions of mean sensitivity,syndetic mean sensitivity and mean Li-Yorke sensitivity.
mean sensitiveBanach mean sensitivesyndetically mean sensitiveLi-Yorke sensitivemean Li-Yorke sensitive
姚权权、朱培勇
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School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu,611731,China
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