Frames and operators on quaternionic Hilbert spaces
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.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Matrix Theory and Algorithms
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Uzbek Mathematical Journal
- Publisher
- V.I.Romanovskiy Institute of Mathematics
- Volume
- 70
- Issue
- 2
- Pages
- 121–135
- Publication date
- 12 June 2026
- Language
- EN