中文摘要：

考虑四元数Hilbert空间上紧正规算子的伪反自伴性,利用算子的切片函数演算及球面谱理论对紧正规伪反自伴算子的球面谱进行刻画,并给出算子的自伴性与伪反自伴性之间的关系.

英文摘要：

The author considered the pseudoanti self adjoint property of compact normal operators in quaternion Hilbert spaces. The author used slice functional calculus of operators and the theory of spherical spectrum to characterize the spherical spectrum of compact normal pseudoanti self adjoint operators, and gave the relation between the self adjoint property and pseudoanti self adjoint property of the operators.