Vol. 63, No. 1, 1976

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Multipliers on a Banach algebra with a bounded approximate identity

John Wayne Davenport

Vol. 63 (1976), No. 1, 131–135
Abstract

Let A be a Banach algebra with a bounded approximate identity {eα|α Λ}, and M(A) the multiplier algebra on A. In this paper, we obtain a representation for M(A) such that each multiplier operator appears as a multiplicative operator. The proof makes use of the weak-* compactness of the net {Teα|α Λ} and the algebraic properties of a multiplier.

Mathematical Subject Classification 2000
Primary: 46H20
Milestones
Received: 18 March 1975
Revised: 8 December 1975
Published: 1 March 1976
Authors
John Wayne Davenport