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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>37</Volume>
				<Issue>No. 4</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>12</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>G-frames and Hilbert-Schmidt operators</ArticleTitle><FirstPage>141</FirstPage>
			<LastPage>155</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>M. R.</FirstName>
					<LastName>Abdollahpour</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>A. </FirstName>
					<LastName>Najati</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>02</Month>
					<Day>20</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[In this paper we introduce and study  Besselian $g$-frames. We show that the kernel of associated synthesis operator for a Besselian $g$-frame is finite dimensional. We also introduce $alpha$-dual of a $g$-frame and we get some results when we use the Hilbert-Schmidt norm for the members of a $g$-frame in a finite dimensional Hilbert space.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">frame</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">g-frame</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Besselian g-frame</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">alpha-dual</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Hilbert-Schmidt operator</Param>
			</Object>
		</ObjectList>
</Article>
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