# A metric induced by a norm on normed almost linear spaces

• Im, Sung-Mo (Department of Mathematics, College of Natural Science, Chungbuk National University, Cheongju 360-763) ;
• Lee, Sang-Han (Department of Mathematics, College of Natural Science, Chungbuk National University, Cheongju 360-763)
• Published : 1997.02.01

#### Abstract

In [3,4,5], G. Godini introduced a normed almost linear space(nals), generalizing the concept of a normed linear space. In contrast with the case of a normed linear space, tha norm of a nals $(X,$\mid$$\mid$$\mid$\cdot$\mid$$\mid$$\mid$)$ does not generate a metric on X $(for x \in X \backslash V_X we have$\mid$$\mid$$\mid$x - x$\mid$$\mid$$\mid$\neq 0)$.

#### References

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