Arens-regularity of Banach algebras and the geometry of Banach spaces
نویسندگان
چکیده
منابع مشابه
Arens regularity of bilinear forms and unital Banach module spaces
Assume that $A$, $B$ are Banach algebras and that $m:Atimes Brightarrow B$, $m^prime:Atimes Arightarrow B$ are bounded bilinear mappings. We study the relationships between Arens regularity of $m$, $m^prime$ and the Banach algebras $A$, $B$. For a Banach $A$-bimodule $B$, we show that $B$ factors with respect to $A$ if and only if $B^{**}$ is unital as an $A^{**}$-module. Le...
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15 صفحه اولArens regularity of triangular Banach algebras related to homomorphisms
In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach ...
متن کاملArens 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 and cohomological properties of Banach lattice algebra
A Banach lattice algebra is a Banach lattice, an associative algebra with a sub-multiplicative norm and the product of positive elements should be positive. In this note we study the Arens regularity and cohomological properties of Banach lattice algebras.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1988
ISSN: 0022-1236
DOI: 10.1016/0022-1236(88)90064-x