N-multipliers and n-Jordan multipliers
Year: 2014
Type: preprint
Abstract: Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule. We introduce and study the notions $n$-multiplier and $n$-Jordan multiplier from $A$ into $X$ by generalizing the classical concepts of multiplier and Jordan multiplier. As an algebraic result, we construct a new Banach algebra consisting of $n$-multipliers on $A$ and give a nice relation of this algebra with $n$-homomorphisms from $A$ into $\mathbb{C}$ under a mild condition. Finally, we give approximate local left version of $n$-multipliers and then investigate when an approximately local left $n$-multiplier is an $n$-multiplier.
Source: arXiv (Cornell University)
Authors: Javad Laali, Mohammad Fozouni
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2231679331