论文标题
非线性光谱分辨率
Nonlinear Spectral Resolution
论文作者
论文摘要
定义了标准空间上的准生产。另外，可以为非线性操作员扩展线性操作员特征向量的概念。基于准生产和广义特征向量，可以证明某些可能的非线性操作员的光谱定理可以证明包括有限的线性对称算子，因为可以证明特殊情况。开发了可能非线性操作员的类别的操作计算，并给出了非线性光谱算子。
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.
