2019/04/03 by Wen Hsiang Wei, Wei, Wen Hsiang
Mathematics · #47H99 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.1904.01900
openalex publication_date 2019/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.