关于一般赋β-范空间中等距与线性的讨论

The Question of Isometries and Linear of β-Normed Spaces

主要讨论了在一般的赋β-范空间中等距与线性二者之间的关系.并且我们得到映射T:E→F,满足一定条件,则存在等距算子V:E→F,使得T=λV,其中λ∈R.

In this paper, we mainly discuss the question of isometries and linear of β-normed spaces, and we shall prove that maps T：E→F satisfy some condition,and exists isometries V：E→F.