On the Stability of Orthogonal Additivity
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 23-30.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We deal with the stability of the orthogonal additivity equation, presenting a new approach to the proof of a 1995 result of R, Ger and the second author. We sharpen the estimate obtained there. Moreover, we work in more general settings, providing an axiomatic framework which covers much more cases than considered before by other authors.
DOI : 10.4064/ba58-1-3
Keywords: stability orthogonal additivity equation presenting approach proof result ger second author sharpen estimate obtained there moreover work general settings providing axiomatic framework which covers much cases considered before other authors

Włodzimierz Fechner 1 ; Justyna Sikorska 1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
@article{10_4064_ba58_1_3,
     author = {W{\l}odzimierz Fechner and Justyna Sikorska},
     title = {On the {Stability} of {Orthogonal} {Additivity}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {23--30},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {2010},
     doi = {10.4064/ba58-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba58-1-3/}
}
TY  - JOUR
AU  - Włodzimierz Fechner
AU  - Justyna Sikorska
TI  - On the Stability of Orthogonal Additivity
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2010
SP  - 23
EP  - 30
VL  - 58
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba58-1-3/
DO  - 10.4064/ba58-1-3
LA  - en
ID  - 10_4064_ba58_1_3
ER  - 
%0 Journal Article
%A Włodzimierz Fechner
%A Justyna Sikorska
%T On the Stability of Orthogonal Additivity
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2010
%P 23-30
%V 58
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba58-1-3/
%R 10.4064/ba58-1-3
%G en
%F 10_4064_ba58_1_3
Włodzimierz Fechner; Justyna Sikorska. On the Stability of Orthogonal Additivity. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 23-30. doi : 10.4064/ba58-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ba58-1-3/

Cité par Sources :