Arens regularity and derivations of Hilbert modules with the certain product

Document Type : Research Paper

Authors

University of Guilan

Abstract

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

Keywords