Warianty tytułu
Języki publikacji
Abstrakty
We show that the solution to the orthogonal additivity problem in real inner product spaces depends continuously on the given function and provide an application of this fact.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
19-23
Opis fizyczny
Daty
wydano
2015-09-01
otrzymano
2014-09-10
online
2015-09-30
Twórcy
autor
- Institute of Mathematics, University of Silesia, Bankowa 14 40-007 Katowice, Poland
Bibliografia
- [1] Baron K., Rätz J., On orthogonally additive mappings on inner product spaces, Bull. Polish Acad. Sci. Math. 43 (1995), 187–189.
- [2] Kuczma M., An introduction to the theory of functional equations and inequalities. Cauchy’s equation and Jensen’s inequality, Second edition (edited by A. Gilányi), Birkhäuser Verlag, Basel, 2009.
- [3] Rätz J., On orthogonally additive mappings, Aequationes Math. 28 (1985), 35–49.
- [4] Sikorska J., Orthogonalities and functional equations, Aequationes Math. 89 (2015), 215–277.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_amsil-2015-0002