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  
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Author NameAffiliation
Morteza RAHMANI Young Researchers and Elite Club, Ilkhchi Branch, Islamic Azad University, Ilkhchi, Iran 
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      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.
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