Algebraic theory of atkinson operators

Notations: In this paper E denotes a linear space, δ(E) the set of all endomorphisms of E , L(E) the set of all continuous endomorphisms of E if E is equipped with a vector space topology. If T ∈δ (E), then N(T) ={x: Tx= 0}B(T) = {Tx: x ∈ E }∝ (T) = dim N (T)β (T)...