Riesz decomposition property implies asymptotic periodicity of positive and constrictive operators
Riesz decomposition property implies asymptotic periodicity of positive and constrictive operators
复制标题
Riesz 分解性质意味着正算子和压缩算子的渐近周期性
DOI：
--
复制
发表时间：
1992
期刊：
影响因子：
--
通讯作者：
W. Bartoszek
中科院分区：
文献类型：
--
作者：
W. Bartoszek
考虑一个线性正算子T作用于一个有序的，f赋范的线性空间x上，假设存在一个开放邻域U 30，使得轨迹{Tn (x)}被吸引到紧集FU上，当x从U上取下来时，并且正锥x +是闭合的，适当的，可复制的。证明了如果（X, X+）具有Riesz分解性质，则T具有渐近周期迭代。
Consider a linear and positive operator T acting on an ordered, F-normed linear space X. Assume that there exists an open neighborhood U 3 0 such that the trajectory {Tn (x)} is attracted to a compact set FU whenever x is taken from U and that the positive cone X+ is closed, proper, and reproducing. It is shown that if (X, X+) has the Riesz Decomposition Property then T has asymptotically periodic iterates.