On the equation of the p-orthogonal additivity

• Autorzy: Alsina C. , Sikorska J. , Tomas M.S.
• Języki publikacji: EN

Abstrakty

EN

We solve a conditional functional equation of the form x ⊥y ⇒ f(x + y) = f(x) + f(y), where f is a mapping from a real normed linear space (X, k ź k) with dimX ≥2 into an abelian group (G, +) and ⊥ is a given orthogonality relation associated to the norm.

Słowa kluczowe

EN

Cauchy functional equation; quadratic functional equation; orthogonally additive function; orthogonally quadratic function; Birkhoff orthogonality; smooth spaces

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2007
• Tom: Vol. 47, [Z] 2
• Strony: 171--178
• Opis fizyczny: bibliogr. 9 poz.

Twórcy

autor

Alsina C.

autor

Sikorska J.

autor

Tomas M.S.

• Sec. Matematiques, ETSAB-UPC Diagonal 649, 08028 Barcelona, Spain,

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