SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES

作者：Musazadeh Kamran^*; Khandani Hassan^*

来源：Acta Mathematica Scientia, 2016, 36(3): 655-665.

DOI：10.1016/s0252-9602(16)30029-7

• frames
• Parseval frames
• dual frames
• controlled frames
• reconstruction formula
• perturbation

We use two appropriate bounded invertible operators to define a controlled frame with optimal frame bounds. We characterize those operators that produces Parseiial controlled frames also we state a way to construct nearly Parseval controlled frames. We introduce a new perturbation of controlled frames to obtain new frames from a given one. Also we reduce the distance of frames by appropriate operators and produce nearly dual frames from two given frames which are not dual frames for each other.

• 出版日期2016-5