A note on finite codimensional linear isometries of C(X) into C(Y)
Sin-Ei Takahasi1and Takateru Okayasu2
Received24 Apr 1994
Revised25 May 1995
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.