Commutants of some Hausdorff matrices

Billy E. Rhoades · Pacific Journal of Mathematics · 1972

Let B(c) denote the Banach algebra of bounded operators over c, the space of convergent sequences.Let Γ and Δ denote the subalgebras of B(c) consisting, respectively, of conservative and conservative triangular infinite matrices, and C the Cesaro matrix of order one.In this paper we investigate Com(C) in Γ and B(c), Com(H) in Γ and B(c) for certain Hausdorff matrices H, and some related questions.

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