(m,n)-正交性和内积空间的特征

( m,n ) ORTHOGONALITY AND CHARACTERIZATIONS OF INNER PRODUCT SPACES

在赋范线性空间中，考虑关于（ｍ，ｎ）－正交性的存在性中变量ａ的取值范围和（ｍ，ｎ）－正交性存在对角线，证明了空间是一个实内积空间当且仅当Ｂｉｒｋｈｏｆ正交性或者等边正交性推出（ｍ。

The author considers the range of variable a in the existence on ( m,n ) orthogonality and the existence diagonal on ( m,n ) orthogonality in normed linear spaces. It is proved that the space is a real inner product space if and only if Birkhoff orthogonality or isosceles orthogonality imply ( m,n ) orthogonality.