On Hyperinvariant Subspaces of Contraction Operators on a Banach Space Whose Spectrum Contains the Unit Circle  

作　　者：Ming Xue LIU Department of Mathematics Guangdong Polytechnic Normal University Guangzhou 510665 P. R. China 

出　　处：《Acta Mathematica Sinica,English Series》2008年第9期1471-1474,共4页数学学报（英文版）

基　　金：the Natural Science Foundation of P.R.China (No.10771039)

摘　　要：In this paper, we prove that every operator in a class of contraction operators on a Banach space whose spectrum contains the unit circle has a nontrivial hyperinvariant subspace.In this paper, we prove that every operator in a class of contraction operators on a Banach space whose spectrum contains the unit circle has a nontrivial hyperinvariant subspace.

关 键 词：Banach space contraction operator invariant subspace 

分 类 号：O177.2[理学—数学]