Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules
Functional Analysis
2024-02-06 v1
Abstract
In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on , under which new continuous K-g-frames can be retrieved from those that already exist. Additionally, we discuss the sum of continuous K-g-frames, discover some of their characterizations, and offer some adjointable operators to construct new continuous K-g-frames from the previous ones.
Keywords
Cite
@article{arxiv.2402.02291,
title = {Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules},
author = {Abdelilah Karara and Mohamed Rossafi and Mohammed Klilou and Samir Kabbaj},
journal= {arXiv preprint arXiv:2402.02291},
year = {2024}
}