Symmetry Of Biquadratic Numerical Range Of Infinite Dimensional Hamiltonian Operators

There are three chapters in this thesis,and the main contents are as follow.In chapter 1,the advance of spectrum,numerical range and quadratic numerical range of the infinite dimensional Hamilton operators and the main results obtained in the thesis are described.In chapter 2,symmetry of biquadratic numerical range of upper triangular infinite dimensional Hamilton operator is investigated.In chapter 3,during the course of developing the result of chapter 2 into infinite dimensional Hamilton operator,this has the similar properties.