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

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.

Saved in:
Bibliographic Details
Main Authors: Sin-Ei Takahasi, Takateru Okayasu
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129500086X
Tags: Add Tag
No Tags, Be the first to tag this record!