摘要
在Menger概率线性赋范空间中,利用该空间中的Leray-Schauder拓扑度理论,研究非线性算子T,建立了紧连续算子T有固有值γ和W上存在对应于γ的固有元的一系列充分条件.同时,也改进和推广了若干个重要结论.
Some problems of nonlinear operator T are investigated in Menger PN space, utilizing Laray-Scbauder topological degree theorem. A series of sufficient conditions for which the compact continuous operator T has an intrinsic value it and has an intrinsic element corresponding with it λ on W are established. Meanwhile, some important conclusions are improved and generalized.
出处
《应用泛函分析学报》
CSCD
2009年第1期58-61,共4页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10461007)
江西省自然科学基金(0411043)
关键词
M-PN空间
紧连续算子
拓扑度
算子
M-PN space
compact continuous operator
topological degree
operator
