Application to characterizing the Jordan ring automorphisms on the space of self-adjoint operators and the space symmetric operators are also presented.
作为应用,获得自伴算子空间和对称算子空间上的约当环同构的具体刻画。
2
We extend Hua′s fundamental theorems of the geometry of self-adjoint matrices and symmetric matrices to the infinite-dimensional case.
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。
3
This paper discusses the integral representation of a class of self-adjoint operators. By applying such representation, it is proved that the spectrums of such operators are discrete.