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

作者:Sin Ei Takahasi; Takateru Okayasu
来源:International Journal of Mathematics and Mathematical Sciences, 1995.
DOI:10.1155/s016117129500086x

摘要

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 %26gt;0.

  • 出版日期1995

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