Linear transformations and linear operators, eigenvector expansion, matrices as representations of linear operators.

线性转换及线性运算子，特征值扩展，以矩阵表示线性运算子。

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For infinite matrices of linear and some nonlinear mappings between topological vector spares which have not any restriction, we establish a new result of infinite matrix transformations.

讨论了抽象对偶系统中的向量值无穷矩阵变换，在一个所涉拓扑线性空间没有任何限制的情况下，得到了无穷矩阵变换理论的一个新结果。

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The transformations on semi-linear spaces, the matrices defined on quasi-domains and the relationship between them are investigated.

定义了拟域上的矩阵，并用以描述半线性空间之间的变换。

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