Digitale Medien
Springer
Monatshefte für Mathematik
121 (1996), S. 189-197
ISSN:
1436-5081
Schlagwort(e):
46E25
;
47B47
;
Multiplicative derivation
;
algebra of continuous functions
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01298949
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