Orthogonal stability of the Cauchy equation on balls

• Autorzy: Sikorska J.
• Języki publikacji: EN

Abstrakty

EN

We deal with stability of some functional equations postulated for orthogonal vectors in a ball centered at the origin. The maps considered are defined on a finite dimensional inner product space and take their values in a real sequentially complete linear topological space. The main result establishes the stability of the corresponding conditional Cauchy functional equation and as a consequence we obtain some other stability resuits. Results which do not involve the orthogonality relation are considered in more general structures.

Słowa kluczowe

EN

stability; additive and quadratic mappings; orthogonal additivity; Cauchy equation

PL

odwzorowania; addytywność ortogonalna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 3
• Strony: 527--546
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sikorska J.

• Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland,