Title of article :
Continuous k-Frames and their Dual in Hilbert Spaces
Author/Authors :
Rahimlou ، Gholamreza Department of Mathematics - Islamic Azad University, Shabestar Branch , Ahmadi ، Reza Institute of Fundamental Science - University of Tabriz , Jafarizadeh ، Mohammad Ali Faculty of Physic - University of Tabriz , Nami ، Susan Faculty of Physic - University of Tabriz
Abstract :
The notion of k-frames was recently introduced by Gavruta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous k-frame, so called ck-frame along with an atomic system for this version of frames. Also we introduce a new method for obtaining the dual of a ck-frame and prove some new results about it.
Keywords :
c , frame , k , frame , ck , frame , ck , atom , ck , dual
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
