Title of article :
Some properties of controlled K-frames in Hilbert spaces
Author/Authors :
Mahmoudieh ، Mohammad Department of Mathematics - Damghan University , Hosseinnezhad ، Hessam Department of Basic Sciences - Faculty of Enghelab-e Eslami - Technical and Vocational University (TVU), Tehran Branch , Abbaspour Tabadkan ، Gholamreza Department of Mathematics - Damghan University
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 . Meanwhile, we correct one of the results which was obtained in the mentioned paper. In the sequel, we construct some new controlled Kframes 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
Journal title :
Wavelets and Linear Algebra
Journal title :
Wavelets and Linear Algebra
