<Emphasis Type="Italic">K</Emphasis>-fusion Frames and the Corresponding Generators for Unitary Systems |
| |
Authors: | Ai Fang Liu Peng Tong Li |
| |
Institution: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China |
| |
Abstract: | Motivated by K-frames and fusion frames, we study K-fusion frames in Hilbert spaces. By the means of operator K, frame operators and quotient operators, several necessary and sufficient conditions for a sequence of closed subspaces and weights to be a K-fusion frame are obtained, and operators preserving K-fusion frames are discussed. In particular, we are interested in the K-fusion frames with the structure of unitary systems. Given a unitary system which has a complete wandering subspace, we give a necessary and sufficient condition for a closed subspace to be a K-fusion frame generator. |
| |
Keywords: | K-fusion frame K-fusion frame generator wandering subspace unitary system |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |