Covering dimension and nonlinear equations
泛函分析
2007-05-23 v1
摘要
Theorem: Let X and Y be two Banach spaces, Phi: X to Y a continuous, linear, surjective operator, and Psi: X to Y a completely continuous operator with bounded range. Then, one has dim{x in X : Phi(x)=Psi(x)} >= dim(Phi^{-1}(0)). Here dim denotes the covering dimension.
引用
@article{arxiv.math/0412563,
title = {Covering dimension and nonlinear equations},
author = {Biagio Ricceri},
journal= {arXiv preprint arXiv:math/0412563},
year = {2007}
}
备注
3 pages