Characterizations of dual of K-frames in quaternionic Hilbert spaces
Functional Analysis
2025-08-13 v1
Abstract
Dual of K-frames in a right quaternionic Hilbert space has been recently introduced and studied by Ellouz[1]. In this paper, we study duals of K-frames and prove a characterization of a K-dual in terms of the canonical K-dual of a K-frame in the case when the range of K is not necessarily closed. Moreover, we defined and studied the Approximate K- Dual of a K-frame in a right quaternionic Hilbert space and proved various results for their existence.
Cite
@article{arxiv.2508.08263,
title = {Characterizations of dual of K-frames in quaternionic Hilbert spaces},
author = {Chander Shekhar},
journal= {arXiv preprint arXiv:2508.08263},
year = {2025}
}
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13 pages