Geodesic
On the functional equation defined by Lie's product formula
Gerd Herzog1 ; Christoph Schmoeger1
1Mathematisches Institut I Universität Karlsruhe D-76128 Karlsruhe, Germany
Studia Mathematica, Tome 175 (2006) no. 3, pp. 271-277
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $E$ be a real normed space and ${\cal A}$ a complex Banach algebra with unit. We characterize the continuous solutions $f:E \to {\cal A}$ of the functional equation $f(x+y)=\lim_{n \to \infty} (f(x/n)f(y/n))^n$.
DOI : 10.4064/sm175-3-5
Keywords: real normed space cal complex banach algebra unit characterize continuous solutions cal functional equation lim infty f

Gerd Herzog  1   ; Christoph Schmoeger  1

1 Mathematisches Institut I Universität Karlsruhe D-76128 Karlsruhe, Germany 
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Gerd Herzog; Christoph Schmoeger. On the functional equation defined
 by Lie's product formula. Studia Mathematica, Tome 175 (2006) no. 3, pp. 271-277. doi: 10.4064/sm175-3-5

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