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模糊赋范空间上线性算子的基本定理(英文)

Some Basic Theorems for Linear OperatorsBetween Fuzzy Normed Spaces
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摘要 研究模糊赋范空间上线性算子的基本性质 .引入算子的开性、闭性、ρ 开性、ρ 闭性等概念并讨论了它们间的关系 ;在此基础上建立了开映射定理、闭图象定理、半开映射定理、半闭图象定理、逆算子定理等 ;还给出了其中一些定理的应用 . Some basic properties for linear operators between fuzzy normed spaces are further studied. Firstly, the concepts of openness, closedness, ρ-openness and ρ-closedness of operators are introduced, and at the same time, the relations among them are discussed. Moreover, by making use of these concepts, a certain number of theorems are established, including the open mapping theorem, the semi-open mapping theorem, the closed graph theorem, the semi-closed graph theorem, the bounded inverse theorem and the semi-bounded inverse theorem. Finally, some applications related to these theorems are given.
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2004年第4期414-430,共17页 JUSTC
基金 NNSFofEducationalDepartmentofJiangsuProvinceofChinaandScienceFoundationofNanjingUniversityofInformationScienceandTechnology
关键词 模糊赋范空间 有界算子 p-有界算子 开算子 闭算子 逆算子 fuzzy normed linear space bounded operator ρ-bounded operator open operator closed operator inverse operator
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