Author = Hosseinnezhad, Hessam
Number of Articles: 1
Some properties of controlled K-frames in Hilbert spaces
Volume 7, Issue 1, 2020, Pages 47-56
https://doi.org/10.22072/wala.2020.119701.1266
Mohammad Mahmoudieh, Hessam Hosseinnezhad, Gholamreza Abbaspour Tabadkan
Abstract In this paper, we reintroduce the concept of controlled K-frames and then, we show that this definition is equivalent
with the concept that has been recently introduced in \cite{Nouri}. Meanwhile, we correct
one of the results which was obtained in the mentioned paper. In the sequel, we construct some new controlled K-frames
by some operator theory tools. Finally, we provide some conditions under which the sum of two controlled K-frames remains
a controlled K-frame.