A+ CATEGORY SCIENTIFIC UNIT

On the functional equation defined by Lie's product formula

Volume 175 / 2006

Gerd Herzog, Christoph Schmoeger Studia Mathematica 175 (2006), 271-277 MSC: 39B52, 46H99. DOI: 10.4064/sm175-3-5

Abstract

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 $f(x+y)=\lim_{n \to \infty} (f(x/n)f(y/n))^n$.

Authors

  • Gerd HerzogMathematisches Institut I
    Universität Karlsruhe
    D-76128 Karlsruhe, Germany
    e-mail
  • Christoph SchmoegerMathematisches Institut I
    Universität Karlsruhe
    D-76128 Karlsruhe, Germany
    e-mail

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