International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 677-680
doi:10.1155/S016117129500086X
A note on finite codimensional linear isometries of C(X) into C(Y)
Sin-Ei Takahasi1
and Takateru Okayasu2
1Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yomezawa 992, Japan
2Department of Mathematics, Faculty of Science, Yamagata University, Yamagata 990, Japan
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.