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:
bulletin of the iranian mathematical societyجلد ۴۳، شماره ۲، صفحات ۲۸۵-۲۸۹
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