Multipliers of quotients of L₁

Irving Leonard Glicksberg and Ingemar Wik

Vol. 38 (1971), No. 3, 619–624

DOI: 10.2140/pjm.1971.38.619

Abstract

Let G be a locally compact abelian group with dual F. The multiplier problem for L₁(G) has a well known and easy solution, while the corresponding problem for its ideals subtle. So far as we have been able to determine, the problem for quotient algebras of L₁(G) has not received attention. The purpose of this note is to point that out and to give a condition on the quotient, which ensures that the simplest possible answer holds, and an example, which shows that in general that answer is false.

Mathematical Subject Classification 2000

Primary: 43A25

Secondary: 43A22

Milestones

Received: 2 June 1970

Published: 1 September 1971