Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON SOME PROPERTIES OF THE FUNCTION SPACE M

  • Lee, Joung-Nam (School of the Liberal Arts Seoul National University of Technology)
  • Published : 2003.10.01
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Abstract

Let M be the vector space of all real S-measurable functions defined on a measure space (X, S, $\mu$). In this paper, we investigate some topological structure of T on M. Indeed, (M, T) becomes a topological vector space. Moreover, if $\mu$, is ${\sigma}-finite$, we can define a complete invariant metric on M which is compatible with the topology T on M, and hence (M, T) becomes a F-space.

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References

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