Continuous K-g-frames in Hilbert C*-modules
Abstract
This study aims at combining the concepts of $g$-frame and $K$-frame in a Hilbert $C^*$-module $U$ for an operator $K\in {\rm End}_{\mathcal{A}}^*(U)$, where ${\mathcal{A}}$ denotes a complex $C^{*}$-algebra and ${\rm End}_{\mathcal{A}}^*(U)$ denotes the class of all adjointable $\mathcal{A}$-linear maps on $U$. As a result, the concept of a $c$-$K$-$g$-frame for a Hilbert $C^{*}$-module is introduced and then characterizations on a $c$-$K$-$g$-frame are provided. Finally, some results on dual $c$-$K$-$g$-Bessel system in Hilbert $C^{*}$-modules are obtained.
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Russian Mathematics
- Publisher
- Kazan Federal University
- Issue
- 7
- Pages
- 80–94
- Publication date
- 6 August 2026
- Language
- EN