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 مقاله:

‎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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arens regularity of bilinear maps and banach modules actions

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عنوان ژورنال

دوره 43  شماره 2

صفحات  285- 289

تاریخ انتشار 2017-04-01

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