On the functional equation defined by Lie's product formula
Gerd Herzog ; Christoph Schmoeger
Studia Mathematica, Tome 173 (2006), p. 271-277 / Harvested from The Polish Digital Mathematics Library
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Let E be a real normed space and a complex Banach algebra with unit. We characterize the continuous solutions f: E → of the functional equation f(x+y)=limn→∞(f(x/n)f(y/n))ⁿ.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284666 
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Gerd Herzog; Christoph Schmoeger. On the functional equation defined by Lie's product formula. Studia Mathematica, Tome 173 (2006) pp. 271-277. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-3-5/