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 ab...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.展开更多
文摘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.
