%0 Journal Article %T SPECTRAL PROPERTIES OF POPULATION OPERATOR
人口算子的谱性质 %A Zhang Lianping %A
张连生 %J 系统科学与数学 %D 1999 %I %X 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. %K Population operator %K algebraic multiplicity %K basic sequence %K completeness ofroot subspaces
人口算子 %K 代数重数 %K 基序列 %K 根子空间完整性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=3331CEEF76479285&yid=B914830F5B1D1078&vid=2A8D03AD8076A2E3&iid=38B194292C032A66&sid=23410D0BDB501DF5&eid=389106FB36CA8332&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=7