Some properties of controlled K-frames in Hilbert spaces

Author(s):

Mohammad Mahmoudieh * , Hessam Hosseinnezhad , Gholamreza Abbaspour

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 were 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.
Keywords:

Frames , K-frames , Controlled K-frames

Language:
English
Published:
Wavelets and Linear Algebra, Volume:7 Issue: 1, Spring and Summer 2020
Pages:
47 to 56
https://www.magiran.com/p2191552