Let $A$ be a $C^*$-algebra and $E$ be a left Hilbert $A$-module. In this paper we define a product on $E$ that making it into a Banach algebra and show that under the certain conditions $E$ is Arens regular. We also study the relationship between derivations of $A$ and $E$.
Sahleh, A., & Najarpisheh, L. (2013). Arens regularity and derivations of Hilbert modules with the certain product. Journal of Algebra and Related Topics, 1(1), 31-39.
MLA
A. Sahleh; L. Najarpisheh. "Arens regularity and derivations of Hilbert modules with the certain product". Journal of Algebra and Related Topics, 1, 1, 2013, 31-39.
HARVARD
Sahleh, A., Najarpisheh, L. (2013). 'Arens regularity and derivations of Hilbert modules with the certain product', Journal of Algebra and Related Topics, 1(1), pp. 31-39.
VANCOUVER
Sahleh, A., Najarpisheh, L. Arens regularity and derivations of Hilbert modules with the certain product. Journal of Algebra and Related Topics, 2013; 1(1): 31-39.
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