On Some Properties of c-Frames

摘要

In this paper we discuss about c-frames,namely continuous frames.Since,cframes 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.