Arens regularity of bilinear maps and Banach modules actions
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Abstract:
Let $X$, $Y$ and $Z$ be Banach spaces and $f:Xtimes Y longrightarrow Z$ a bounded bilinear map. In this paper we study the relation between Arens regularity of $f$ and the reflexivity of $Y$. We also give some conditions under which the Arens regularity of a Banach algebra $A$ implies the Arens regularity of certain Banach right module action of $A$ .
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Journal title
volume 43 issue 2
pages 285- 289
publication date 2017-04-01
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