On The Development of Nonlinear Operator Theory
Functional Analysis
2019-05-28 v3
Abstract
The basic results for nonlinear operators are given. These results include nonlinear versions of classical uniform boundedness theorem and Hahn-Banach theorem. Furthermore, the mappings from a metrizable space into another normed space can fall in some normed spaces by defining suitable norms. The results for the mappings on the metrizable spaces can be applied to the operators on the space of bounded linear functionals corresponding to the Dirac's delta function.
Cite
@article{arxiv.1904.01900,
title = {On The Development of Nonlinear Operator Theory},
author = {Wen Hsiang Wei},
journal= {arXiv preprint arXiv:1904.01900},
year = {2019}
}