Citation
Js. Jeang et Nc. Wong, INTO ISOMETRIES OF C-0(X,E)S, Journal of mathematical analysis and applications, 207(1), 1997, pp. 286-290
Citations number
7
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
0022247X
Volume
207
Issue
1
Year of publication
1997
Pages
286 - 290
Database
ISI
SICI code
0022-247X(1997)207:1<286:IIOC>2.0.ZU;2-F
Abstract
Suppose X and Y are locally compact Hausdorff spaces, E and F are Bana
ch spaces, and F is strictly convex. We show that every linear isometr
y T from C-0(X, E) into C-0(Y, F) is essentially a weighted compositio
n operator Tf(y) = h(y)(f(phi(y))). (C) 1997 Academic Press.