Commutants of some quasi-Hausdorff matrices

Billy E. Rhoades · Pacific Journal of Mathematics · 1974

Let B(c) denote the Banach algebra of bounded linear operators over c, the space of convergent sequences, and JΓ* the subalgebra of conservative infinite matrices.Given an upper triangular matrix A in Γ*, a sufficient condition is established for the commutant of A in Z 7 * to be upper triangular.Also determined is the commutant, in B(c), of certain quasi-Hausdorff matrices.

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