λ-乘数收敛不变性的判据  

Criterion on Convergence Invariance Based onλ-Multiplier

作　　者：邢志勇[1] 蔡俊娟[1] 黄丽[2] XING Zhiyong;CAI Junjuan;HUANG Li(School of Public Education, Xiamen Ocean Vocational College, Xiamen 361100, Fujian China;College of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, Shanxi China)

机构地区：[1]厦门海洋职业技术学院公共教育学院,福建厦门361100 [2]太原科技大学应用科学学院,山西太原030024

出　　处：《吉首大学学报（自然科学版）》2021年第6期1-3,53,共4页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金青年科学基金项目(11501401);厦门海洋职业技术学院高层次人才科研专项立项项目(KYG202001)。

摘　　要：通过泛函分析空间特别是局部凸空间上函数的性质来判断空间的性质.在拓扑线性空间中,用X′的性质推断X的性质,并利用逻辑反证法证明了λ-乘数收敛的不变性.The properties of space are studied through studying the properties of functions in functional analysis space,especially in locally convex space.In the topological vector space,the nature of X is inferred through studying the properties of X′.The invariance ofλ-multiplier convergence is proved by means of logical proof and logical disproof.

关 键 词：空间理论 对偶不变性 全程不变性 λ-乘数收敛 

分 类 号：O177[理学—数学]