شماره ركورد كنفرانس :
5416
عنوان مقاله :
A GENERAL APPROACH TO DEFINE THE ADJOINT OF NON-LINEAR OPERATORS IN HILBERT SPACE
پديدآورندگان :
Matehkolaee Mehdi Jafari Department of Physics, Amirkabir University of Technology , Hajimohammadi Fariman Alameh Department of Physics, Alzahra University
كليدواژه :
Non , linear operator – Differentiable operator – Adjoint operator
عنوان كنفرانس :
هفتمين كنفرانس ملي فيزيك رياضي ايران
چكيده فارسي :
In this paper we have endeavored to indicate a general approach for the adjoint of non-linear operators. For this purpose, we have changed the classical definition of linear operators in the textbooks. Then we have obtained the adjoint of these operators with respect to the definition of the derivative an operator or Frechet derivative . Regarding to definition of the adjoint of anti-linear operators, we have shown a general definition for the adjoint of non-linear operators. Our approach works for all of the differentiable operator.
