• NORMED LINEAR SPACES FOR ADJOINT OPERATOR

Abstract

In this present paper, the definition adjoint of the operator on normed linear spaces. It is shown that if (X, || ||) and (Y,|| || ) are two normed linear spaces and T: X →Y be a strongly (weakly) bounded linear operator, then T*:Y* →X* (adjoint of T) is strongly (weakly) bounded linear operator and 〖∥T∥〗_α^⋆=〖∥ T^*∥〗_α^⋆ , for each α∈(0,1].