شماره ركورد كنفرانس :
5410
عنوان مقاله :
ON ORTHOGONALLY ADDITIVE ISOMETRIES
عنوان به زبان ديگر :
ON ORTHOGONALLY ADDITIVE ISOMETRIES
پديدآورندگان :
EKRAMI SAYED KHALIL Department of Mathematics, Payame Noor University
كليدواژه :
Orthogonally additive mapping , additive mapping , isometry , inner product space.
عنوان كنفرانس :
هفتمين سمينار آناليز تابعي و كابردهاي آن
چكيده فارسي :
Let H be a real inner product space. In this paper, we show that if a mapping f : H → H satisfies f(x + y) = f(x) + f(y) for all x, y ∈ H with x ⊥ y and ∥f(x)∥ = ∥x∥ for all x,∈ H, then f is an additive mapping.
