| On Some Properties of $c$-Frames |
| Received:April 30, 2016 Revised:March 29, 2017 |
| Key Words:
Banach space Hilbert space frame $c$-frame Parseval $c$-frame Bochner measurable
|
| Fund Project: |
|
| Hits: 2610 |
| Download times: 1745 |
| Abstract: |
| In this paper we discuss about $c$-frames, namely continuous frames. Since, $c$-frames are generalizations of discrete frames, we generalize some results of discrete frames to continuous version. We explain some results about relations of projections in Hilbert spaces and $c$-frames to characterize these frames. Also, we will specify (precisely) the synthesis and frame operators of Bochner integrable $c$-frames. Finally, we classify Hilbert-Schmidt operators by $c$-frames and express some new identities for Parseval $c$-frames. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.04.008 |
| View Full Text View/Add Comment |
|
|
|
