SPECTRAL PROPERTIES OF POPULATION OPERATOR
人口算子的谱性质

In this paper, the spectral properties of the population operator are studied.We obtain that (i) the algebraic multiplicity of every eigenvalue of the population operator,except for possibly a finite number of individual ones, equals one; (ii) the eigenvalues of thepopulation operator have some new distribution properties, (iii) the generalized eigenfunctionsdo not constitute a basic sequence, (iv) when the population operator is confined in L20, r2],the root subspaces of the population operator are complete.