Kazem Haghnejad Azar
Arens regularity of module actions and weak amenability of Banach algebras.
Thu, 11/04/2010 - 16:01 — SomNambulAuthors: Kazem Haghnejad Azar
Subjects: Functional Analysis
AbstractFor Banach left and right module actions, we will establish the relationships
between topological centers of module actions with some result in the weak
amenability of Banach algebras.Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras.
Thu, 11/04/2010 - 16:01 — SomNambulAuthors: Kazem Haghnejad Azar
Subjects: Functional Analysis
AbstractIn this note, we study the Arens regularity of projective tensor product
$A\hat{\otimes}B$ whenever $A$ and $B$ are Arens regular. We establish some new
conditions for showing that the Banach algebras $A$ and $B$ are Arens regular
if and only if $A\hat{\otimes}B$ is Arens regular. We also introduce some new
concepts as left-weak$^*$-weak convergence property [$Lw^*wc-$property] and
right-weak$^*$-weak convergence property [$Rw^*wc-$property] and for Banach
algebra $A$, suppose that $A^*$ and $A^{**}$, respectively, have
$Rw^*wc-$property and $Lw^*wc-$property.Arens regularity and weak topological center of module actions.
Thu, 07/01/2010 - 15:01 — SomNambulAuthors: Kazem Haghnejad Azar
Subjects: Functional Analysis
AbstractLet $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We define
$\tilde{Z}_1(A^{**})$ as a weak topological center of $A^{**}$ with respect to
first Arens product and we will find some relations between this concept and
the topological center of $A^{**}$. We also extend this new definition into the
module actions and find relationship between weak topological center of module
actions and reflexivity or Arens regularity of some Banach algebras, and we
investigate some applications of this new definition in the weak amenability of
some Banach algebras.The Topological Centers Of Module Actions.
Thu, 04/15/2010 - 15:01 — SomNambulAuthors: Kazem Haghnejad Azar
Subjects: Functional Analysis
AbstractIn this article, for Banach left and right module actions, we will extend
some propositions from Lau and $\ddot{U}lger$ into general situations and we
establish the relationships between topological centers of module actions. We
also introduce the new concepts as $Lw^*w$-property and $Rw^*w$-property for
Banach $A-bimodule$ $B$ and we investigate the relations between them and
topological center of module actions. We have some applications in dual groups.
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