(B_n,‖·‖)与(C^n,‖·‖_k)的范数关系定理

Norm Relation Theorem Between(B_n,‖·‖)and(C^n,‖·‖_k)

在n维复欧几里德空间Cn上建立4个范数的基础上,得到n维线性范数空间(B_n,‖.‖)与n维欧氏空间的范数关系定理.定理的结果在非线性泛函分析和微分方程理论中有较方便的应用.

Based on the establishment of four norms on C^n, we obtained the norm relation theorem between n-dimensional normed linear space （Bn, ｜｜·｜｜） and n-dimensional Euclid space. These results will have the convenient use in the non-linear functional analysis and in the differential equation theory.