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Published online by Cambridge University Press: 22 January 2016
Consider a linear transformation T whose domain D(T) and range R(T) lie in a complex Banach space X. We denote by [X] the class of all linear transformations T for which D(T) = X and T is continuous (bounded). Also, we denote the resolvent set of T by ρ(T) and the spectrum of T by σ(T).