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A note on finite codimensional linear isometries of C ( X ) into C ( Y )

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  • Sin-Ei Takahasi
  • Takateru Okayasu

Abstract

Let ( X , Y ) be a pair of compact Hausdorff spaces. It is shown that a certain property of the class of continuous maps of Y onto X is equivalent to the non-existence of linear isometry of C ( X ) into C ( Y ) whose range has finite codimension > 0 .

Suggested Citation

  • Sin-Ei Takahasi & Takateru Okayasu, 1995. "A note on finite codimensional linear isometries of C ( X ) into C ( Y )," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 18, pages 1-4, January.
  • Handle: RePEc:hin:jijmms:617364
    DOI: 10.1155/S016117129500086X
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