Commutants of some quasi-Hausdorff matrices

Billy E. Rhoades

Vol. 52 (1974), No. 2, 513–517

DOI: 10.2140/pjm.1974.52.513

Abstract

Let B(c) denote the Banach algebra of bounded linear operators over c, the space of convergent sequences, and Γ∗ 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 Γ∗ to be upper triangular. Also determined is the commutant, in B(c), of certain quasi-Hausdorff matrices.

Mathematical Subject Classification 2000

Primary: 40C99

Milestones

Received: 8 January 1973

Published: 1 June 1974