Furstenberg族的一些性质研究  

Some Properties of Furstenberg Families

作　　者：周小凯 张思汇[1] ZHOU Xiaokai;ZHANG Sihui(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《复旦学报（自然科学版）》2022年第3期313-316,共4页Journal of Fudan University：Natural Science

摘　　要：基于Furstenberg族,我们研究了1维动力系统(I,f)和它的泛函包络(L^(1)(I,I),H_(f))的一些性质。我们证明了如果(I,f)是F-distal系统,则(L^(1)(I,I),H_(f))是F-distal系统;如果(I,f)是F-等度连续系统,则(L^(1)(I,I),H_(f))是F-等度连续系统。Based on Furstenberg family,some properties of one-dimensional system(I,f)and its functional envelope(L^(1)(I,I),H_(f))are studied.We prove that if(I,f)is an F-distal system,then(L^(1)(I,I),H_(f))is an F-distal system;if(I,f)is an F-equicontinuous system then(L^(1)(I,I),H_(f))is an F-equicontinuous system.

关 键 词：F-distal F-等度连续 泛函包络 

分 类 号：O19[理学—数学]