摘要
本文没有假设随机算子是Frechet可微,利用随机拓扑度的方法,研究了Banach空间中随机凝聚算子的歧点的存在性.
This paper deals with the existence of ambiguous point of random condensing operators in Banach space.The main methods in the proofs are from the topological degree theory,without assuming random operators as the differentiability.
出处
《数学进展》
CSCD
北大核心
2012年第1期16-20,共5页
Advances in Mathematics（China）
基金
Supported by NSFC(No.11071108,No.10761007)
the Provincial Science Foundation of Jiangxi(No.0411043,No.2007GZS2051)
the Provincial Department of Education Research of Jiangxi(No. 2006[8])
关键词
随机凝聚算子
歧点
随机拓扑度
谱半径
random condensing operator
ambiguous point
random topological degree
spectral radius
