شماره ركورد كنفرانس :
3360
عنوان مقاله :
ON PRESERVING ORTHEGONALITY ON INNER PRODUCT A-MODULES
Author/Authors :
MARYAM AMYARI Department of Mathematics - Mashhad Branch Islamic Azad University , ALI KHALILI Department of Mathematics - Mashhad Branch Islamic Azad University
كليدواژه :
Preserversing map , inner product , A-module , orthogonality
عنوان كنفرانس :
چهارمين سمينار آناليز تابعي و كاربردهاي آن
چكيده لاتين :
Let E and F be two inner product A-modules and T : E ! F be a linear mapping which preserves orthogonality. In
this talk, we show that there exists an element a 2 A+ such that ⟨T(x); T(y)⟩ = a2⟨x; y⟩ for each x; y 2 E