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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>04</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>c-Frames and c-Bessel mappings</ArticleTitle><FirstPage>203</FirstPage>
			<LastPage>222</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>M. </FirstName>
					<LastName>Faroughi</LastName>
					<Affiliation>Islamic Azad University</Affiliation>
				</Author>
<Author>
					<FirstName>E. </FirstName>
					<LastName>Osgooei</LastName>
					<Affiliation>University of Tabriz</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>05</Month>
					<Day>15</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[The theory of c-frames and c-Bessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of c-Bessel mappings.We show that for a c-Bessel mapping $f$, a retrievalformula with respect to a c-Bessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a c-Besselmapping which  weakly belongs to the null space of the pre-frame operatorof $f$. Also, we prove that composition of pre-frame operator withanalysis operator of two square norm integrable c-Bessel mappingsare trace class operators.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Lebesque integral</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Hilbert space</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">C*-algebra</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">trace class operator</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">frame theory</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>