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。
Application to characterizing the Jordan ring automorphisms on the space of self-adjoint operators and the space symmetric operators are also presented.
本文研究一类自伴算子的积分形式，利用这种形式证明这类自伴算子的谱集是离散的，然后推出几个性质。
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.
第一章：引言和预备知识部分，主要是关于微分算子的积算子自伴的研究情况和对称微分算子的一些基本知识。
Chapter one is divided into two parts: in the first part, we give the simple summarize of adjointness of differential operator product;
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
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