线性空间表为象空间与核空间之和的充要条件

摘要

According to the properties of image and kernel space,the necessary and sufficient conditions are discussed that the linear space can be expressed by the direct sum of image and kernel space.Mo-reover,several examples are cited by using these conditions.%以象空间与核空间的性质为基础，研究了线性空间表为象空间与核空间之和的充分必要条件，讨论了它的若干用例。