江汉大学学报（自然科学版）

论述了伪辛空间概念的形成,深入阐述了其本质属性及分化、演变和扩张,揭示了伪辛空间与辛空间及欧氏空间的内在联系和区别.通过对伪辛空间的分析解剖,得出伪辛空间是辛空间保度量的扩张,也是欧氏空间的扩张,而辛空间与欧氏空间是伪辛空间的内蕴空间的结论.

The forming of concept of bogus symplectic space is studied.The essential property and the polarization,evolvement and expansion of the space are expounded.The inner link and differences among bogus symplectic space,symplectic space and Euclidean space are revealed.Through the analysis of bogus symplectic space,a conclusion is drawed that bogus symplectic space is not only the expansion of symplectic space invariable magnitude but also the expansion of Euclid-ean space,symplectic space and Euclidean space are the internal spaces of bogus symplectic space.