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The Baker–Pym theorem and multipliers*

Published online by Cambridge University Press:  20 January 2009

Sin-Ei Takahasi
Affiliation:
Department of Basic Technology, Yamagata University, Yomezawa 992, Japan
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Abstract

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A new interpretation of the Baker–Pym theorem is given in terms of operators and applies to a characterization of multipliers on a Banach algebra.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

REFERENCES

1.Baker, J. W. and Pym, J. S., A remark on continuous bilinear mappings, Proc. Edinburgh Math. Soc. 17 (1971), 245248.CrossRefGoogle Scholar
2.Comisky, C. V., Multipliers of Banach modules, Indag. Math. 33 (1971), 3238.CrossRefGoogle Scholar
3.Doran, R. S. and Wichmann, J., Approximate Identities and Factorization in Banach Modules (Lecture Notes in Math. 768, Springer-Verlag, Berlin, Heidelberg, New York, 1979).CrossRefGoogle Scholar
4.Larsen, R., An Introduction to the Theory of Multipliers (Springer-Verlag, New York-Heidelberg, 1971).CrossRefGoogle Scholar
5.Mckennon, K., Quasi-multipliers, Trans. Amer. Math. Soc. 233 (1977), 105123.CrossRefGoogle Scholar
6.Vasudevan, R., Goel, S. and Takahasi, S., The Arens product and quasi-multipliers, Yokohama Math. J. 33 (1985), 4966.Google Scholar