On Some Properties of $c$-Frames |
| |
Authors: | Morteza RAHMANI |
| |
Affiliation: | Young Researchers and Elite Club, Ilkhchi Branch, Islamic Azad University, Ilkhchi, Iran |
| |
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. |
| |
Keywords: | Banach space Hilbert space frame $c$-frame Parseval $c$-frame Bochner measurable |
本文献已被 CNKI 等数据库收录! |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
|