5 papers · 1 filter
Adaptive resolution frames: A multilevel framework in Hilbert spaces
Jahangir Cheshmavar
We introduce adaptive resolution frames (AR-frames), a class of weighted frames equipped with a partitioned index structure that models multiple resolution levels in Hilbert spaces…
Frame properties induced by iteration of a multiplication operator on Hardy spaces
Jahangir Cheshmavar
Motivated by the study of frame properties arising from iterates of linear operators, it was previously established that the multiplication operator cannot gen…
Study on operator representation of frames in Hilbert spaces
Jahangir Cheshmavar, Ayyaneh Dallaki
The purpose of this paper is to give an overview of the operator structure of frames, where the operator belongs to certain classes of linear operators and the element belongs to $…
K-g-frames and approximate K-g-duals in Hilbert spaces
Jahangir Cheshmavar, Maryam Rezaei Sarkhaei
Approximate duality of frame pairs have been investigated by Christensen and Laugesen in (Sampl. Theory Signal Image Process., 9, 2011, 77-90), with the motivation to obtain an imp…
Viewing *-multiplication operators between Orlics spaces
Jahangir Cheshmavar, Seyed Kamel Hosseini
In this paper, Lambert multipliers acting between Orlicz spaces are characterized based on conditional expectation operators. Also, we give necessary and sufficient conditions to *…