无界线性算子的特征值问题

The Problem of Eigenvalue of Unbounded Linear Operator

在复Hilbert空间中研究一般无界线性算子的实、复特征值存在的充要条件,并且引入线性算子的点谱半径概念,给出了点谱半径的表示式。

This paper investigates the sufficient and necessary conditions of existence of real or non-real eigenvalues of unbounded linear operator in complex Hilbert space. Also we introduce the concept of point spectral radius of linear operator and give the representation formula of point spectral radius.