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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Nitin Sharma
Department of Mathematics, Maitreyi College, University of Delhi, India
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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BIFRAMES AND THEIR PROPERTIES IN QUATERNIONIC HILBERT SPACES Nitin Sharma; Amita Aggarwal; Raksha Sharma
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss4pp2743-2754

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.
Co-Authors Amita Aggarwal Raksha Sharma