文章基本信息

标题：A note on finite codimensional linear isometries of <mml:math alttext="$C\left( X \right)$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>C</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> into <mml:math alttext="$C\left( Y \right)$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>C</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>
本地全文：下载
作者：Sin-Ei Takahasi ; Takateru Okayasu
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S016117129500086X
出版社：Hindawi Publishing Corporation
摘要：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.