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BIFRAMES AND THEIR PROPERTIES IN QUATERNIONIC HILBERT SPACES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 4 (2026) · pp. 2743–2754

DOI
10.30598/barekengvol20iss4pp2743-2754
ISSN
2615-3017, 1978-7227
Published
2026-08-24
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

In this paper, we focus on defining and analyzing biframes within quaternionic Hilbert spaces, thereby extending the study of biframes beyond the complex Hilbert space framework. We establish that frames can be viewed as a specific instance of biframes. Moreover, we introduce the concept of biframe operators and utilize it to derive a reconstruction formula. Several characterization results pertaining to biframes are also discussed. Additionally, the conditions under which the image of a biframe under a bounded linear operator continues to retain the biframe structure are examined.

Collaboration network of the authors

4 authors · 4 co-authorship links

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  • Delhi Technological University
  • Affiliation unknown
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Co-authorOrganisationJoint articles
Om Prakash VermaDelhi Technological University1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">BIFRAMES AND THEIR PROPERTIES IN QUATERNIONIC HILBERT SPACES</dc:title>
	<dc:creator>Sharma, Nitin</dc:creator>
	<dc:creator>Aggarwal, Amita</dc:creator>
	<dc:creator>Sharma, Raksha</dc:creator>
	<dc:description xml:lang="en-US">In this paper, we focus on defining and analyzing biframes within quaternionic Hilbert spaces, thereby extending the study of biframes beyond the complex Hilbert space framework. We establish that frames can be viewed as a specific instance of biframes. Moreover, we introduce the concept of biframe operators and utilize it to derive a reconstruction formula. Several characterization results pertaining to biframes are also discussed. Additionally, the conditions under which the image of a biframe under a bounded linear operator continues to retain the biframe structure are examined.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-08-24</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/21552</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss4pp2743-2754</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application; 2743-2754</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss4year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/21552/13174</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Nitin Sharma, Amita Aggarwal, Raksha Sharma</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>