关于C（X，E）到F的等距同构

ON ISOMETRIC ISOMORPHISM FROM(X,E)TO F

本文给出从Ｃ（Ｘ，Ｅ）到Ｆ的算子Ｔ的集函数表示，其中Ｘ是紧Ｈａｕｓｄｏｒｆｆ空间，Ｅ和Ｆ都是Ｂａｎａｃｈ空间。进而研究了当Ｔ是等距同构时，集函数表示ｍ的一些性质。

The paper presents a representation for an operator T from C (X,E) to F by a set function m,where X is a compact Hausdorff space,E and F are both Banach spaces. Moreover, some properties of the representation m when T is an isometric isomorphism are discussed.