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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

1. Bonsall, F. and Goldie, A. W., Annihilator algebras, Proc. London Math. Soc. (3) 4 (1954), 154-167.Google Scholar
2. Ching, Wai-Mee and Wong, J. S. W., Multipliers andH*-algebras, Pacific J. Math. 22 (1967), 387-396.Google Scholar
3. Johnson, B. E., An introduction to the theory of centralizers, Proc. London Math. Soc. (3) 14 (1964), 299-320.Google Scholar
4. Kellogg, C. N., Centralizers and H*-algebras, Pacific J. Math. 17 (1966), 121-129.Google Scholar
5. Malviya, B. D. and Tomiuk, B. J., Multiplier operators on B*-algebras, Proc. Amer. Math. Soc. 31 (1972), 505-510.Google Scholar
6. Naimark, M. A., Normed rings, Noordhoff, Groningen, 1959.Google Scholar
7. Rickart, C. E., General theory of Banach algebras, Van Nostrand, New York, 1960.Google Scholar
8. Taylor, D. C., The strict topology for double centralizer algebras, Trans. Amer. Math. Soc. 150 (1970), 633-643.Google Scholar