شماره ركورد كنفرانس :
3360
عنوان مقاله :
ON THE ORTHOGONALITY EQUATION and PRESERVATION OF ORTHOGONALITY
Author/Authors :
JACEK CHMIELINSKI Department of Mathematics - Pedagogical University of Cracow Podchora_zych Poland
كليدواژه :
Orthogonality equation , orthogonality preserving prop - erty , linear isometries , Hilbert spaces
عنوان كنفرانس :
چهارمين سمينار آناليز تابعي و كاربردهاي آن
چكيده لاتين :
We consider problems connected with preservation of the inner product or the orthogonality relation by a pair of map
pings. Namely, we study the properties: ⟨f(x)jg(y)⟩ = ⟨xjy⟩ and x?y ) f(x)?g(y) for all x; y from the joint domain of f and g