A Simple Condition Ensuring the Arens Regularity of Bilinear Mappings
نویسندگان
چکیده
منابع مشابه
Arens regularity of bilinear maps and Banach modules actions
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 $A$ .
متن کاملArens regularity of bilinear forms and unital Banach module spaces
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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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متن کاملQuotient Arens regularity of $L^1(G)$
Let $mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $mathcal{A}^prime$. In this paper we study the quotient Arens regularity of $mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular with respect to certain introverted subspace $E$ of $L^infty(G)$. Some related result are given as well.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1982
ISSN: 0002-9939
DOI: 10.2307/2044028