中文摘要：

设T是复Hilbert空间中的有界线性算子，给出了T和它的广义Aluthge变换△λ（T）=｜T｜^λU｜T｜^1-λ（0〈λ〈1）在点谱、剩余谱、连续谱、近似点谱和谱之间的关系．

英文摘要：

For a bounded linear operator T in the Hilbert space,the relation of point spectrum, residual spectrum,continuous spectrum, opproximate point spectrum and spectrum between T and its generalized Aluthge transform △λ（T）=｜T｜^λU｜T｜^1-λ（0〈λ〈1）are given.