We give a necessary and sufficient condition for the nilpotent operators to be similiar to irreducible operators, and give an answer to D.A.Herrero Conjectures for nilpotent operators.
基金the 973 Project of China and the National Natural Science Foundation of China (Grant No. 19631070).
文摘We give a necessary and sufficient condition for the nilpotent operators to be similiar to irreducible operators, and give an answer to D.A.Herrero Conjectures for nilpotent operators.