Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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
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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)$.

Keywords

References

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