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A Note on Multiplier Operators and Dual B*-Algebras

Published online by Cambridge University Press:  20 November 2018

K. Rowlands
K. Rowlands*
Affiliation:
Department of Pure Mathematics, University College of Wales, AberystwythUnited Kingdom
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Let A be a complex Banach algebra without order. Following Kellogg [4] and Ching and Wong [2], a mapping T of A into itself is called a right (left) multiplier on A if T(ab)=(Ta)b(T(ab)=a(Tb)) for all a, b in A. T is said to be a multiplier on A if it is both a right and left multiplier on A. Let M(A)(RM(A), LM(A)) be the set of all (right, left) multipliers on A.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 563 - 565
Copyright
Copyright © Canadian Mathematical Society 1974

References

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