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.
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Wiley
1995-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S016117129500086X |
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