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arXiv · 2411.03790

Frames and Operators on Quaternionic Hilbert spaces

Najib Khachiaa
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Abstract

The aim of this work is to study frame theory in quaternionic Hilbert spaces. We provide a characterization of frames in these spaces through the associated operators. Additionally, we examine frames of the form $\{Lu_i\}_{i \in I}$, where $L$ is a right $\mathbb{H}$-linear bounded operator and $\{u_i\}_{i \in I}$ is a frame.

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Najib Khachiaa. 2024-11-06. Frames and Operators on Quaternionic Hilbert spaces. https://arxiv.org/abs/2411.03790

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