有限维Jacobi算子特征值的连续依赖性  

Continuous dependence of eigenvalues to Jacobi operators with finite dimensions

作　　者：杜保营[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644000

出　　处：《重庆文理学院学报（自然科学版）》2012年第5期43-44,48,共3页Journal of Chongqing University of Arts and Sciences

摘　　要：探讨有限维雅克比算子特征值的连续依赖性,从另一个角度了解雅克比算子各种数量的相互关系,并得出结论:有限维雅克比算子的特征值连续依赖于该雅克比算子的系数,同时给出了严格的证明.In this paper,continuous dependence of eigenvalues to Jacobi operators with finite dimensions will be considered.So the relationship between the numbers to Jacobi operators can be learnt.A conclusion was found that eigenvalues to Jacobi operators with finite dimensions continuous dependent on coefficients to the Jacobi operators with finite dimensions through study,and proof the conclusion with a strict mathematic method.

关 键 词：雅克比算子 有限维雅克比算子 特征值 连续依赖性 

分 类 号：O175.3[理学—数学]