%0 Journal Article
%T Functional Representation Theorem for Polynomially Bounded Operators on a Banach Space<br>一般多项式有界算子的泛函表示定理
%A Liu Mingxue
%A <br>刘明学
%J 数学物理学报(A辑)
%D 2008
%I 
%X In this paper, the author introduces a transformation by scalar multiplication of the independent variable in the disc algebra, finds the connection between the Riesz functional calculus of polynomially bounded operators and the polynomial calculus of polynomially bounded operators, and obtains the functional representation theorem for (general) polynomially bounded operators on a Banach space.
%K Banach spacezz
%K Polynomially bounded operatorzz
%K Functional calculuszz
%K Invariant subspacezz<br>Banach空间
%K 多项式有界算子
%K 函数演算
%K 不变子空间
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=3C60D58BCF87EF6FB724D42AE48A454B&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=7B747CE18E2C7596&eid=2E45C5B3364EA9F3&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=18