On the spectrum assignment problem for the admissible operator pairs
Cai Hong-zhuan · 2008
Given the operators A,B with A,B acting on complex Hilbert spaces H and K,respectively.Firstly,a clear proof is given for the well known spectrum assignment theorem by the mathematical induction when the pair operator(A,B) is admissible by using the space decomposition,the polar decomposition and the construction technique in operator matrix.Secondly,an application is obtained for this theory.