On orthogonally additive functions with orthogonally additive second iterate
Commentationes Mathematicae, Tome 53 (2013) no. 2, p. 401−404.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let $\(E\) be a real inner product space of dimension at least 2. If \(f\) maps \(E\) onto \(E\) and both \(f\) and \(f \circ f \) are orthogonally additive, then \(f\) is additive.
DOI : 10.14708/cm.v53i2.799
Mots-clés : orthogonally additive and additive function, inner product space, iterate
@article{10_14708_cm_v53i2_799,
     author = {Karol Baron},
     title = {On orthogonally additive functions with orthogonally additive second iterate},
     journal = {Commentationes Mathematicae},
     pages = { 401\ensuremath{-}404},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {2013},
     doi = {10.14708/cm.v53i2.799},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.799/}
}
TY  - JOUR
AU  - Karol Baron
TI  - On orthogonally additive functions with orthogonally additive second iterate
JO  - Commentationes Mathematicae
PY  - 2013
SP  -  401−404
VL  - 53
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.799/
DO  - 10.14708/cm.v53i2.799
LA  - pl
ID  - 10_14708_cm_v53i2_799
ER  - 
%0 Journal Article
%A Karol Baron
%T On orthogonally additive functions with orthogonally additive second iterate
%J Commentationes Mathematicae
%D 2013
%P  401−404
%V 53
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.799/
%R 10.14708/cm.v53i2.799
%G pl
%F 10_14708_cm_v53i2_799
Karol Baron. On orthogonally additive functions with orthogonally additive second iterate. Commentationes Mathematicae, Tome 53 (2013) no. 2, p.  401−404. doi : 10.14708/cm.v53i2.799. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i2.799/

Cité par Sources :