On Stability of the Cauchy Functional Equation in Groupoids

Imke Toborg; Peter Volkmann

Annales Mathematicae Silesianae (2017)

  • Volume: 31, Issue: 1, page 155-164
  • ISSN: 0860-2107

Abstract

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We give some stability results for the functional equation a(xy) = a(x) + a(y), where a: G → E, G being a groupoid and E a Banach space.

How to cite

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Imke Toborg, and Peter Volkmann. "On Stability of the Cauchy Functional Equation in Groupoids." Annales Mathematicae Silesianae 31.1 (2017): 155-164. <http://eudml.org/doc/288431>.

@article{ImkeToborg2017,
abstract = {We give some stability results for the functional equation a(xy) = a(x) + a(y), where a: G → E, G being a groupoid and E a Banach space.},
author = {Imke Toborg, Peter Volkmann},
journal = {Annales Mathematicae Silesianae},
keywords = {Cauchy equation; stability; groupoids; Tabor groupoids},
language = {eng},
number = {1},
pages = {155-164},
title = {On Stability of the Cauchy Functional Equation in Groupoids},
url = {http://eudml.org/doc/288431},
volume = {31},
year = {2017},
}

TY - JOUR
AU - Imke Toborg
AU - Peter Volkmann
TI - On Stability of the Cauchy Functional Equation in Groupoids
JO - Annales Mathematicae Silesianae
PY - 2017
VL - 31
IS - 1
SP - 155
EP - 164
AB - We give some stability results for the functional equation a(xy) = a(x) + a(y), where a: G → E, G being a groupoid and E a Banach space.
LA - eng
KW - Cauchy equation; stability; groupoids; Tabor groupoids
UR - http://eudml.org/doc/288431
ER -

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