Electronic Resource
Springer
Monatshefte für Mathematik
121 (1996), S. 189-197
ISSN:
1436-5081
Keywords:
46E25
;
47B47
;
Multiplicative derivation
;
algebra of continuous functions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract LetX be a completely regular topological space satisfying the first axiom of countability with no isolated points, and letC(X) be the algebra of all continuous functions onX. A mappingd:C(X)→C(X) is called a multiplicative derivation ifd(fg)=fd(g)+gd(f) for every pair of functionsf, g∈C(X) (no linearity or continuity ofd is assumed). We obtain a complete description of such mappings and give examples to show that the above assumptions on the spaceX are essential.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01298949
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