TY  - JOUR
ID  - Moszner2008
LB  - Moszner2008
AU  - Moszner, Zenon
TI  - Stability of the equation of homomorphism and completeness of the underlying space
ST  - Stability of the equation of homomorphism and completeness of the underlying space
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 1
SP  - 83
EP  - 92
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.1.83
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.1.83
AB  - We prove that all assumptions of a Theorem of Forti and Schwaiger (cf. [G. L. Forti, J. Schwaiger, Stability of homomorphisms and completeness, C. R. Math. Rep. Acad. Sci. Canada 11 (1989), 215–220]) on the coherence of stability of the equation of homomorphism with the completeness of the space of values of all these homomorphisms, are essential. We give some generalizations of this theorem and certain examples of applications.
KW  - functional equation
KW  - stability of equations of homomorphisms
KW  - superstability
KW  - complete vector spaces
SN  - 1232-9274
ER  -