Beurling Type Theorem on the Hilbert Space Generated by a Positive Sequence

作     者：Chang Hui WU Zhi Jie WANG Tao YU 

作者机构：School of Mathematical Sciences Dalian University of Technology Dalian 116024 P. R. China Department of Mathematics Physics and Information Engineering Jiaxing University Jiaxing 314001 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2019年第35卷第9期

页      面：1511-1519页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by NSFC(Grant Nos.11271332 and 11431011) the Fundamental Research Funds for the Central Universities NSFC(Grant No.11501249) 

主　　题：Beurling type theorem invariant subspace wandering subspace 

摘      要：Let H^2(γ) be the Hilbert space over the bidisk D^2 generated by a positive sequence γ={γnm}n,m≥0. In this paper, we prove that the Beurling type theorem holds for the shift operator on H^2(γ) with γ={γnm}n,m≥0 satisfying certain series of inequalities. As a corollary, we give several applications to a class of classical analytic reproducing kernel Hilbert spaces over the bidisk D^2.