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% Marjan Adib, Department of Mathematics and computer science, Amirkabir University of technology, P. O. Box 15914, Tehran 91775, Iran, madib@aut.ac.ir
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\noindent\parbox{2.85cm}{\includegraphics*[keepaspectratio=true,scale=1.75]{BJMA.jpg}}
\noindent\parbox{4.85in}{\hspace{0.1mm}\\[1.5cm]\noindent
Banach J. Math. Anal. 5 (2011), no. 2, 6--14\\
$\frac{\rule{4.55in}{0.05in}}{{}}$\\
{\footnotesize
\textcolor[rgb]{0.65,0.00,0.95}{\textsc{\textbf{\large{B}}anach
\textbf{\large{J}}ournal of \textbf{\large{M}}athematical
\textbf{\large{A}}nalysis}}\\
ISSN: 1735-8787 (electronic)\\
\textcolor[rgb]{0.00,0.00,0.84}{\textbf{www.emis.de/journals/BJMA/ }}\\
$\frac{{}}{\rule{4.55in}{0.05in}}$}\\[.5in]}


\title[Quasi-multipliers]{Quasi-multipliers of the dual of a Banach algebra}

\author[M. Adib, A. Riazi, J. Bra\v{c}i\v{c}]{M. Adib$^1$, A. Riazi$^2$$^{*}$ and J. Bra\v{c}i\v{c}$^3$}

\address{$^{1, 2}$ Department of Mathematics and Computer Science, Amirkabir University of Technology, P. O. Box 15914, Tehran 91775, Iran.}

\email{\textcolor[rgb]{0.00,0.00,0.84}{madib@aut.ac.ir}}
\email{\textcolor[rgb]{0.00,0.00,0.84}{riazi@aut.ac.ir}}

\address{$^{3}$ IMFM,  University of Ljubljana, Jadranska ul. 19, SI-1000, Ljubljana, Slovenia.}

\email{\textcolor[rgb]{0.00,0.00,0.84}{janko.bracic@fmf.uni-lj.si}}

\dedicatory{{\rm Communicated by M. Bre\v{s}ar}}

\subjclass[2010]{Primary 47B48; Secondary 46H25.}

\keywords{Quasi-multiplier, multiplier, Banach algebra, second dual, Arens regularity.}

\date{Received: 13 July 2010; Revised: 9 September; Accepted: 8 October 2010.
\newline \indent $^{*}$ Corresponding author}

\begin{abstract}
{In this paper we extend the notion of quasi-multipliers to the dual of a Banach algebra $A$ whose second dual has a mixed
identity. We consider algebras satisfying weaker condition than Arens regularity. Among others we prove that for an Arens regular
Banach algebra which has a bounded approximate identity the space $QM_{r}(A^{*})$ of all  bilinear and separately continuous right quasi-multipliers of $A^{*}$ is isometrically isomorphic to $A^{**}.$ We discuss the strict topology on $QM_{r}(A^{*})$ and apply our results to
$C^{*}-$algebras and  to the group algebra of a compact group.}
\end{abstract}

\maketitle
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\end{document}

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