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:
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!
|
Similar Items
-
A note on orthogonal matching pursuit under restricted isometry property
by: Xueping Chen, et al.
Published: (2022-05-01) -
Bifurcation Analysis of a Discrete Basener–Ross Population Model: Exploring Multiple Scenarios
by: A. A. Elsadany, et al.
Published: (2025-01-01) -
An extension of Helson-Edwards theorem to Banach Modules
by: Sin-Ei Takahasi
Published: (1991-01-01) -
On maps: continuous, closed, perfect, and with closed graph
by: G. L. Garg, et al.
Published: (1997-01-01) -
Spatial numerical ranges of elements of
subalgebras of C0(X)
by: Sin-Ei Takahasi
Published: (2000-01-01)