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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>37</Volume>
				<Issue>No. 4</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>12</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Banach module valued separating maps and  automatic continuity</ArticleTitle><FirstPage>127</FirstPage>
			<LastPage>139</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>L. </FirstName>
					<LastName>Mousavi</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>F. </FirstName>
					<LastName>Sady</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>04</Month>
					<Day>08</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[For two algebras $A$ and $B$,  a linear map $T:A longrightarrow B$ is called separating,  if $xcdot y=0$ implies $Txcdot Ty=0$ for all $x,yin A$.  The general form and the automatic continuity of separating maps between various Banach algebras  have been studied extensively. In this paper, we first extend the notion of separating map for module case and then we give a description of a linear separating map $T:B longrightarrow X$, where $B$ is a unital commutative semisimple regular  Banach algebra  satisfying the Ditkin's condition and $X$ is a left Banach module over a unital commutative Banach algebra.  We also show that if $X$ is hyper semisimple and $T$ is bijective, then $T$ is automatically continuous and $T^{-1}$ is separating as well.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Banach  algebras</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Banach modules</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">separating maps</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">cozero set</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">point multiplier</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Automatic continuity</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>