Abstract
Let A be a Banach algebra and X be a Banach A-bimodule. We introduce and study the notions of n-multipliers and approximately local n-multipliers by generalizing the classical concept of multipliers from A into X. As an algebraic result, we construct a Banach algebra consisting of n-multipliers on A and under some mild conditions, we give a nice relation of this algebra with n-homomorphisms from A into \(\mathbb {C}\).
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Acknowledgments
The authors would like to thank the referee of the paper for his/her comments. The second named author partially supported by a grant from GKU.
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Laali, J., Fozouni, M. n-Multipliers and Their Relations with n-Homomorphisms. Vietnam J. Math. 45, 451–457 (2017). https://doi.org/10.1007/s10013-016-0216-9
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DOI: https://doi.org/10.1007/s10013-016-0216-9