Unbounded multipliers on commutative Banach algebras

James Alan Wood

Vol. 85 (1979), No. 2, 479–484

DOI: 10.2140/pjm.1979.85.479

Abstract

In this paper the notion of an unbounded multiplier on a commutative Banach algebra is introduced. It is proven that, as in the case of bounded multipliers, unbounded multipliers also have Gelfand transforms. Some of the properties of these transforms are then developed. The final result of the paper is a new characterization of the bounded multipliers on A where A is a Banach algebra of the type described below.

Mathematical Subject Classification 2000

Primary: 46J10

Secondary: 47C05

Milestones

Received: 3 October 1978

Revised: 5 June 1979

Published: 1 December 1979