取值收敛自由序列空间的抽象函数的连续性、可微性与可积性  

The continuity, differentiability and integrality of abstract functions on Convergence-free sequence spaces

作　　者：黄渊丰[1] 吴从炘[1] 

机构地区：[1]哈尔滨工业大学理学院

出　　处：《黑龙江大学自然科学学报》2006年第3期341-344,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10271035)

摘　　要：研究了取值收敛自由空间上的抽象函数的连续性、可微性与可积性,讨论了这一类函数的连续性、可微性和可积性与依坐标连续、可微和可积之间的关系,给出了与此有关的几个定理,并指出在λ=ω时定理的条件还可以进一步简化.The continuity, differentiability and integrality of abstract functions on convergence -free spaces are studied. The relationship between this class of abstract function＇ s continuity, differentiability, integrality in coordinates is discussed. Several theorem concerning this problem were presented. It is pointed out that the form of these theorems can be simplized when λ=ω

关 键 词：收敛自由空间 正规拓扑 连续性 可微性 可积性 

分 类 号：O177[理学—数学]