<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Vali-e-Asr university of Rafsanjan</PublisherName>
				<JournalTitle>Wavelet and Linear Algebra</JournalTitle>
				<Issn>2383-1936</Issn>
				<Volume>12</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2025</Year>
					<Month>12</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>An Operator Bundle admitting no Frames</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>48</FirstPage>
			<LastPage>53</LastPage>
			<ELocationID EIdType="pii">733580</ELocationID>
			
<ELocationID EIdType="doi">10.22072/wala.2025.2076825.1479</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Mohammad Bagher</FirstName>
					<LastName>Asadi</LastName>
<Affiliation>School of Mathematics, Statistics and Computer Science, College of Science, University of
Tehran, Tehran, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Zahra</FirstName>
					<LastName>Hassanpour-Yakhdani</LastName>
<Affiliation>School of Mathematics, Statistics and Computer Science, College of Science, University of
Tehran, Tehran, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2025</Year>
					<Month>11</Month>
					<Day>05</Day>
				</PubDate>
			</History>
		<Abstract>In [4], we use equivariant functions on the space of irreducible representations&lt;br&gt;of a C∗-algebra A to develop a duality theory for Hilbert C∗-modules. Within this&lt;br&gt;framework, each Hilbert C∗-module corresponds to an operator bundle defined&lt;br&gt;over the set of all non-zero irreducible representations of A.&lt;br&gt;In this short note, we characterize the condition under which operator bundles,&lt;br&gt;regarded as Hilbert C∗-modules admit no frames.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Frames, General theory of C&amp;lowast</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">-algebras, Hilbert C&amp;lowast</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">&amp;minus</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">modules</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://wala.vru.ac.ir/article_733580_ee6c6263545aad1ba78e4577572e4afc.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
