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Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules
- Publication Year :
- 2024
-
Abstract
- In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert$C^{\ast}$-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on $\mathcal{H}$, 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.
- Subjects :
- Mathematics - Functional Analysis
Primary: 42C15, Secondary: 47A05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2402.02291
- Document Type :
- Working Paper