On Some Properties of $c$-Frames
Received:April 30, 2016  Revised:March 29, 2017
Key Word: Banach space   Hilbert space   frame   $c$-frame   Parseval $c$-frame   Bochner measurable  
Fund ProjectL:
Author NameAffiliation
Morteza RAHMANI Young Researchers and Elite Club, Ilkhchi Branch, Islamic Azad University, Ilkhchi, Iran 
Hits: 160
Download times: 200
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  Download reader