双线性函数  

Bilinear functions

作　　者：刘英[1] 王路群[1] 李凤霞[1] 刘冬丽[1] 

机构地区：[1]哈尔滨师范大学恒星学院信息科学系,黑龙江哈尔滨150025

出　　处：《高师理科学刊》2010年第1期18-21,共4页Journal of Science of Teachers＇College and University

基　　金：黑龙江省高教学会"十一五"规划项目(115C-580)

摘　　要：为了进一步整合线性代数的内容,利用线性函数揭示双线性函数的结构,探讨了双线性函数可表示为若干对线性函数张量积之和,同时通过对偶基的性质揭示出对偶空间V*的一组基必为空间V的某组基的对偶基,这极大地丰富了线性函数的理论.In order to further integrate the content of linear algebra, researched the structure of bilinear functions by a linear function. Obtained the concolution that bilinear function can be written as a number of the tensor product of some linear function, at the same time, the nature of the dual basis revealed that the basis of the dual space must be a dual basis of someone basis of the linear space V. The concolution greatly enriched the theory of linear function.

关 键 词：双线性函数 笛卡尔积 对偶空间 

分 类 号：O151.2[理学—数学]