BIFRAMES AND THEIR PROPERTIES IN QUATERNIONIC HILBERT SPACES

DOI: https://doi.org/10.30598/barekengvol20iss4pp2743-2754
Keywords: Biframes, Biframe Operator, Quaternionic Hilbert Spaces

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.

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Published
2026-08-24
How to Cite
[1]
N. Sharma, A. Aggarwal, and R. Sharma, “BIFRAMES AND THEIR PROPERTIES IN QUATERNIONIC HILBERT SPACES”, BAREKENG: J. Math. & App., vol. 20, no. 4, pp. 2743-2754, Aug. 2026.
Issue
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Section
Articles

Copyright (c) 2026 Nitin Sharma, Amita Aggarwal, Raksha Sharma

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