右可逆半群上渐近殆非扩张曲线的遍历定理  

The strongly ergodic theorem for asymptotically almost nonexpansive curves of right reversible semigroups

作　　者：张基益[1,2] 李刚[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]连云港师范高等专科学校初等教育系,江苏连云港222006

出　　处：《扬州大学学报（自然科学版）》2010年第4期25-28,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10571150)

摘　　要：设H是一个Hilbert空间,G是一个右可逆拓扑半群,在G上引入渐近殆非扩张曲线u(.),证明了具有等距的渐近殆非扩张曲线的强遍历收敛定理.由上述结论不仅得到当G是可交换半群时的强遍历定理,而且推广了已有的非扩张半群、渐近非扩张半群、渐近型非扩张型半群及殆轨道的相关结论.Let H be a Hilbert space,G be a right reversible semigroup,u（·） be an asymptotically almost nonexpansive curve.The author proves the strong ergodic theorem for the asymptotically almost nonexpansive curves of right reversible semigroup.Therefore,it not only obtains the strong ergodic theorem for the asymptotically almost nonexpance curves of commutative semigroup,but also extends the results of nonexpansive semigroup,asymptotically nonexpansive semigroup,asymptotically nonexpansive type and the almost-orbit.

关 键 词：遍历定理 渐近殆非扩张曲线 非线性算子半群 右可逆半群 

分 类 号：O177.9[理学—数学]