arens regularity of bilinear maps and banach modules actions

نویسندگان

a. sahleh

faculty of mathematical sciences‎, ‎university‎ ‎of guilan‎, ‎p.o‎. ‎box 1914‎, ‎rasht‎, ‎iran. l. najarpisheh

faculty of mathematical sciences‎, ‎university‎ ‎of guilan‎, ‎p.o‎. ‎box 1914‎, ‎rasht‎, ‎iran.

چکیده

‎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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منابع مشابه

Arens regularity of bilinear maps and Banach modules actions

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۳، شماره ۲، صفحات ۲۸۵-۲۸۹

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