论文标题
Quaternionic操作员的S光谱和数值范围
S-spectrum and numerical range of a quaternionic operator
论文作者
论文摘要
我们研究了Quaternionic Hilbert空间上有界线性运算符的数值范围及其与S光谱的关系。引入了Quaternionic Hilbert空间上的复杂算子类，并在这种情况下完全表征了正常复合算子的上部。
We study the numerical range of bounded linear operators on quaternionic Hilbert spaces and its relation with the S-spectrum. The class of complex operators on quaternionic Hilbert spaces is introduced and the upper bild of normal complex operators is completely characterized in this setting.
