If a symmetrical matrix is positive definite, the determinants of all its minors are also positive. 如果对称矩阵是为正定者，它的所有子式的行列式也都是正的。
We extend Hua's fundamental theorems of the geometry of self-adjoint matrices and symmetric matrices to the infinite-dimensional case. 摘要本文分别将华氏自伴矩阵几何与对称矩阵几何基本定理推广到无限维的情形。
