Commutants of some Hausdorff matrices

Billy E. Rhoades

Vol. 42 (1972), No. 3, 715–719

DOI: 10.2140/pjm.1972.42.715

Abstract

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.

Mathematical Subject Classification 2000

Primary: 46A35

Secondary: 40C05

Milestones

Received: 6 August 1971

Published: 1 September 1972