On the functional equation defined by Lie's product formula

Gerd Herzog; Christoph Schmoeger

Studia Mathematica (2006)

  • Volume: 175, Issue: 3, page 271-277
  • ISSN: 0039-3223

Abstract

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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 ) = l i m n ( f ( x / n ) f ( y / n ) ) .

How to cite

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Gerd Herzog, and Christoph Schmoeger. "On the functional equation defined by Lie's product formula." Studia Mathematica 175.3 (2006): 271-277. <http://eudml.org/doc/284666>.

@article{GerdHerzog2006,
abstract = {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 $f(x+y) = lim_\{n→∞\}(f(x/n)f(y/n))ⁿ$.},
author = {Gerd Herzog, Christoph Schmoeger},
journal = {Studia Mathematica},
keywords = {Banach algebra; projection; commutative range},
language = {eng},
number = {3},
pages = {271-277},
title = {On the functional equation defined by Lie's product formula},
url = {http://eudml.org/doc/284666},
volume = {175},
year = {2006},
}

TY - JOUR
AU - Gerd Herzog
AU - Christoph Schmoeger
TI - On the functional equation defined by Lie's product formula
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 3
SP - 271
EP - 277
AB - 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 $f(x+y) = lim_{n→∞}(f(x/n)f(y/n))ⁿ$.
LA - eng
KW - Banach algebra; projection; commutative range
UR - http://eudml.org/doc/284666
ER -

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