Multiplicative derivations onC(X)

Autor: Helmut Goldmann, Peter Šemrl
Rok vydání: 1996
Předmět:
Zdroj: Monatshefte für Mathematik. 121:189-197
ISSN: 1436-5081
0026-9255
DOI: 10.1007/bf01298949
Popis: 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.
Databáze: OpenAIRE
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