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

Sin-Ei Takahasi and Takateru Okayasu

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-4

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 .

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:617364

DOI: 10.1155/S016117129500086X

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