可逆Lipschitz半群的弱收敛性  

Weak Convergence for Reversible Lipschitzian Semigroups

作　　者：徐洪坤[1] 

机构地区：[1]华东化工学院应用数学研究所

出　　处：《华东化工学院学报》1991年第4期501-504,共4页

摘　　要：讨论了一类Lipschitz半群的弱收敛性问题。在Hilbert空间中证明了弱渐近正则性隐含半群轨道的弱收敛性;而在具有Frechet可微范数的一致凸Banach空间中证明了渐近正则性隐含半群轨道的弱收敛性。本文还讨论了收缩核的存在性问题。The weak convergence for a class of Lipschitzian semigroups is discussed. It is proved that in a Hilbert space the weak asymptotic regularity implies the weak convergence of the semigroup; while in a uniformly convex Banach space with a Frechet differentiable norm, the asymptotic regularity implies the weak convergence of the semigroup. The existence of a retract for the semigroup is also discussed.

关 键 词：半群 收敛性 群论 

分 类 号：O152.7[理学—数学]