Hilbert空间中渐近非扩张型半群殆轨道的强遍历收敛定理

Strong Ergodic Convergence Theorem for Asymptotically Almost Non-Expansive Semi-Groups in Hilbert Spaces

利用具等距的渐近殆非扩张曲线的遍历定理,研究了非Lipschitzian右可逆半群的殆轨道,得到了右可逆半群渐近非扩张型半群殆轨道的强遍历收敛定理,将已有的结果进行了推广.

This work proves the strong ergodic theorem for asymptotically non-expansive-type semi-groups by using the strong ergodic theorem for asymptotically almost non-expansive curves of reversible semigroups in non-Lipschitzian almost-orbit of right reversible semi-groups,and extends some results in relevant researches in literature.