@article {
author = {Haghnejad Azar, kazem},
title = {Arens regularity of bilinear forms and unital Banach module spaces},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {40},
number = {2},
pages = {505-520},
year = {2014},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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. Let $Z_{e^{primeprime}}(B^{**})=B^{**}$ where $e^{primeprime}$ is a mixed unit of $A^{**}$. Then $B^*$ factors on both sides with respect to $A$ if and only if $B^{**}$ has a unit as $A^{**}$-module.},
keywords = {Arens regularity,bilinear mappings,Topological center,Unital A-module,Module action},
url = {http://bims.iranjournals.ir/article_512.html},
eprint = {http://bims.iranjournals.ir/article_512_7cc3f3725b7b3c1fe554083605917069.pdf}
}