Name
Abstract | ||
|---|---|---|
The concept of K-frames was recently introduced by Gavruta(7) in Hilbert spaces to study atomic systems with respect to a bounded linear operator. Let A be a unital C*-algebra, H,K be finitely or countably generated Hilbert A-modules, and F, G be adjointable operators from H to K. In this paper, we study a class of (F, G)-bounded operators and (F, G)-operator frames for L(H, K). We also prove that the pseudo-inverse of T is an element of L(H, K) exists if and only if T has closed range. We extend some known results about the pseudo-inverses acting on Hilbert spaces in the context of Hilbert C*-modules. Further, we also present some perturbation results for (F, G)-operator frames in L(H, K). |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1142/S0219691320500319 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | DocType | Volume |
Hilbert C*-module, (F,G)-operator frame, pseudo-inverse, stability | Journal | 18 |
Issue | ISSN | Citations |
5 | 0219-6913 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Sedghi Moghaddam | 1 | 0 | 0.34 |
| Abbas Najati | 2 | 0 | 0.34 |
| F. Ghobadzadeh | 3 | 0 | 0.34 |