On the Stability of Orthogonal Additivity

Włodzimierz Fechner, and Justyna Sikorska. "On the Stability of Orthogonal Additivity." Bulletin of the Polish Academy of Sciences. Mathematics 58.1 (2010): 23-30. <http://eudml.org/doc/281281>.

@article{WłodzimierzFechner2010,
abstract = {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.},
author = {Włodzimierz Fechner, Justyna Sikorska},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {orthogonal additivity; stability; conditional functional inequality},
language = {eng},
number = {1},
pages = {23-30},
title = {On the Stability of Orthogonal Additivity},
url = {http://eudml.org/doc/281281},
volume = {58},
year = {2010},
}

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
VL - 58
IS - 1
SP - 23
EP - 30
AB - 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.
LA - eng
KW - orthogonal additivity; stability; conditional functional inequality
UR - http://eudml.org/doc/281281
ER -