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The matrix domain X A of an infinite matrix A = (a nk) ∞ n,k=0 of complex numbers in a subset X of the set ω of all complex sequences is the set of all x = (x k) ∞ k=0 ∈ ω for which the series A n x = ∞ k=0 a nk x k converge for all n and Ax = (A n x) ∞ n=0 ∈ X. Also, if X and Y are subsets of ω then (X, Y) denotes the set of all infinite matrices that map(More)
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