次范整线性空间中的逆算子定理和闭图像定理  

Inverse Operator Theorem and Closed Graph Theorem in Sub-Normed Z-Linear Space

作　　者：成波[1] 曹怀信[2] 

机构地区：[1]安康学院数学系,陕西安康725000 [2]陕西师范大学数学与信息科学学院,西安710062

出　　处：《西南师范大学学报（自然科学版）》2006年第4期35-39,共5页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：研究了次范整线性空间的性质,引入Q空间的概念,将泛函分析学中的开映射定理、逆算子定理与闭图象定理推广到次范整线性空间之中.Some properties of sub-normed linear spaces are discussed and by introducing the concept of a Q-space, analogues of the inverse operator theorem, the open mapping theorem and the closed graph theorem are established in sub-normed linear space setting.

关 键 词：次范整线性空间 逆算子定理 开映射定理 闭图像定理 

分 类 号：O189.11[理学—数学]