C*代数值Riemann边值问题的典则解  

The canonical solution to C*-algebra-valued Riemann problem

作　　者：林智彬[1] 刘华[1] 

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《徐州师范大学学报（自然科学版）》2011年第3期17-20,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10601036)

摘　　要：讨论了取值于复Banach空间向量值解析函数的Riemann边值问题.首先给出了跳跃问题的解,然后讨论由联结算子生成的C*代数,研究它的谱与复同态的对应关系,最后给出齐次向量值解析边值问题的一个特解,即Riemann边值问题的典则解.In this paper,we deal with the Riemann boundary value problems of vector-valued analytic functions on complex Banach space.Some solutions for the simplest Riemann leap problem are given.Then we discuss the C＊-algebra generated by the connected operator,especially,the relationship between its spectra and complex homomorphisms,by which a particular solution is obtained for the homogeneous vector-valued analytic boundary value problem,i.e.,the canonical solution of Riemann problem.

关 键 词：C＊代数 RIEMANN边值问题 典则解 

分 类 号：O174.56[理学—数学]