关于正弦椭球的迭代不等式

Iteration Inequalities of Sine Ellipsoids

通过新定义的正弦椭球的定义和性质,得到了正弦椭球的体积不等式并给出了等式成立的充分必要条件.此外,本文利用迭代方法,进一步建立了关于正弦椭球算子A*2和A*-2的迭代不等式.

By the definitions and properties of sine ellipsoids,we obtain several vol­ume inequalities of the sine ellipsoid and their equality conditions.Moreover,by using the iteration method,we establish the iteration inequalities about the sine ellipsoid operators A*2 and A*-2.