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正则Z-算子的Z-谱及其性质
Z-spectrum of Regular Z-operator and Its Nature
【摘要】 引入了正则Z-算子的Z-谱的概念,探讨了正则Z-算子的Z-谱的性质,并将泛函分析学中谱映射定理推广到Z-空间之中的Z-谱映射定理.
【Abstract】 This paper introduces the concept of Z-spectrum of regular Z-operator,discusses its nature and extends the spectral mapping theorem of the functional analysis to Z-spectral mapping theorem in Z-space.
【关键词】 Z-空间;
B-Z-空间;
正则;
Z-算子;
Z-谱;
性质;
Z-谱映射定理;
【Key words】 Z-spaces; B-Z-spaces; regular; Z-operator; Z-spectrum; nature; Z-spectral mapping theorem;
【Key words】 Z-spaces; B-Z-spaces; regular; Z-operator; Z-spectrum; nature; Z-spectral mapping theorem;
【基金】 国家自然科学基金项目(10471156)
- 【文献出处】 湖北民族学院学报(自然科学版) ,Journal of Hubei University for Nationalities(Natural Science Edition) , 编辑部邮箱 ,2013年02期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】31