On the Continuous Dependence of Solutions to Orthogonal Additivity Problem on Given Functions

• Autorzy: Karol Baron
• Języki publikacji: EN

Abstrakty

EN

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(original abstract)

Słowa kluczowe

EN

Mathematics; Functions

PL

Matematyka; Funkcje

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2015
• Tom: 29
• Strony: 19--23

Twórcy

autor

Karol Baron

• Institute of Mathematics University of Silesia

Bibliografia

• Baron K., Rätz J., On orthogonally additive mappings on inner product spaces, Bull. Polish Acad. Sci. Math. 43 (1995), 187-189.
• 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.
• Rätz J., On orthogonally additive mappings, Aequationes Math. 28 (1985), 35-49.
• Sikorska J., Orthogonalities and functional equations, Aequationes Math. 89 (2015), 215-277.

Identyfikatory

DOI

10.1515/amsil-2015-0002