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arXiv · 1403.4016

N-multipliers and their relations with n-homomorphisms

Javad Laali·Mohammad Fozouni
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Abstract

Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule. We introduce and study the notions of $n$-multipliers and approximate 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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Javad Laali, Mohammad Fozouni. 2016-04-07. N-multipliers and their relations with n-homomorphisms. https://doi.org/10.1007/s10013-016-0216-9

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