In the final chapter, we give the concepts of internal product algebra and Hilbert algebra, and discuss its basic properties. On this basis, we use nonstandard methods to construct Hilbert algebra and study its basic properties preliminarily.
在最后一章里，首先我们给出了内积代数、Hilbert代数的定义，并讨论其基本性质，在此基础上，我们借助非标准方法构造出Hilbert代数，并研究了它的基本性质。
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最后讨论了张量积代数的本性换位。
Finally, the essential commutant of tensor product of operator algebras is discussed.
基于LEM还得到了处理对应于置换群cg系列问题的黑克代数张量积的方法。
A procedure for dealing with tensor products of Hecke algebras, which corresponds to the CG series of permutation groups, are also formulated based on the LEM.
功的定义用到矢量代数的第三种运算，即两个矢量的标积。
The definition of work suggests a third process of vector algebra, namely, scalar multiplication of two vectors.
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