| C*代数值Riemann边值问题的典则解 |
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| 引用本文： | 林智彬,刘华.C*代数值Riemann边值问题的典则解[J].徐州师范大学学报(自然科学版),2011(3). |
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| 作者姓名： | 林智彬 刘华 |
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| 作者单位： | 天津职业技术师范大学理学院; |
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| 基金项目： | 国家自然科学基金资助项目(10601036) |
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| 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.
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| 关 键 词： | C*代数 Riemann边值问题 典则解 |
The canonical solution to C*-algebra-valued Riemann problem |
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| Lin Zhibin,Liu Hua.The canonical solution to C*-algebra-valued Riemann problem[J].Journal of Xuzhou Normal University(Natural Science Edition),2011(3). |
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| Authors: | Lin Zhibin Liu Hua |
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| Institution: | Lin Zhibin,Liu Hua(School of Sciences,Tianjin University of Technology & Education,Tianjin 300222) |
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| Abstract: | 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. |
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| Keywords: | C*-algebra Riemann boundary value problem canonical solution |
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