极限圆型Hamilton算子乘积的自伴性  

Self-adjointness of the Product of Two Hamiltonian Operators under the Limit Circle Case

作　　者：郑召文[1] 刘宝圣[1] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165

出　　处：《数学学报（中文版）》2012年第2期301-310,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10801089);山东省自然科学基金资助项目(ZR2009AQ010)

摘　　要：本文讨论了极限圆型Hamilton算子乘积的自伴性,利用Calkin方法及奇异Hamilton系统自伴扩张的一般构造理论,给出了在极限圆型时判定Hamilton算子乘积自伴的一个充要条件.In this paper, the self-adjointness of the product of two Hamiltonian op- erators under the limit circle case is considered. Using the Calkin method and the construction of self-adjoint extension for singular Hamiltonian systems, the necessary and sufficient conditions which make the product of two Hamiltonian operators under the limit circle case being a self-adjoint operator are obtained.

关 键 词：奇异Hamilton算子 极限圆型 亏指数 积算子 自伴扩张 

分 类 号：O175.1[理学—数学]