Abstract
Let X and Y be Banach spaces, L a continuous linear mapping of X into Y . A fundamental principle of linear functional analysis originating with Hausdorff [7] states that if the range R(L) of the linear mapping L is closed in the Banach space Y, then the range R(L) can be characterized as N(I*)⊥, the annihilator in Y of the nullspace N(L*) of the adjoint mapping L* . A mapping L having these properties is said to he normally solvable.
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