Matricial Coupling and Equivalence After Extension
Matricial Coupling and Equivalence After Extension
复制标题
推广后的矩阵耦合和等价
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
V. E. Tsekanovskii
中科院分区：
文献类型：
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作者：
H. Bart;V. E. Tsekanovskii
本文的目的是澄清扩张后的矩阵耦合和等价的概念。扩张后的矩阵耦合和等价是有界线性算子之间可能存在也可能不存在的关系。众所周知，矩阵耦合意味着扩张后的等价性。这里的出发点是观察到匡威也是正确的：矩阵耦合和等价在扩张之后是相同的。对于特殊情况（例如Fredholm算子），我们给出了矩阵耦合的充要条件。对于矩阵，矩阵耦合问题被认为是一个完成问题。
The purpose of this paper is to clarify the notions of matricial coupling and equivalence after extension. Matricial coupling and equivalence after extension are relationships that may or may not exist between bounded linear operators. It is known that matricial coupling implies equivalence after extension. The starting point here is the observation that the converse is also true: Matricial coupling and equivalence after extension amount to the same. For special cases (such as, for instance, Fredholm operators) necessary and sufficient conditions for matricial coupling are given in terms of null spaces and ranges. For matrices, the issue of matricial coupling is considered as a completion problem.