2020/02/16 by Wen Hsiang Wei, Wei, Wen Hsiang
Biochemistry, Genetics and Molecular Biology · Chemistry · #46H30 #47H99 #FOS: Mathematics #Functional Analysis (math.FA) #Spectroscopy Techniques in Biomedical and Chemical Research #Spectroscopy and Chemometric Analyses
paper · pdf · doi:10.48550/arxiv.2002.06590
openalex publication_date 2020/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A quasi-product on the normed space is defined. In addition, the notions of the eigenvectors of a linear operator can be extended for the nonlinear operator. Based on the quasi-product and the generalized eigenvectors, the spectral theorems for certain possibly nonlinear operators which include bounded linear symmetric operators as special cases can be proved. The operational calculus of the classes of possibly nonlinear operators is developed and nonlinear spectral operators are given.