Frames and Operators on Quaternionic Hilbert spaces

Autor: Khachiaa, Najib
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv