人口算子的一个谱特征

A spectral property of population operator

摘要: 讨论了人口算子复本征值的代数重数问题 .在一定的条件下证明了 ,除至多有限个外 ,人口算子复本征值的代数重数均为 1 .

Abstract: This paper discussed the algebraic multiplicity of the complex eigenvalues of population operator.Under certain condition it is proved that all the complex eigenvalues of this operator,except at most finitely many ones,are of algebraic multiplicity 1.