*-K-g-Frames and their duals for Hilbert A-modules
M'hamed Ghiati, Samir Kabbaj, Hatim Labrigui, Abdeslam Touri, and, Mohamed Rossafi
TL;DR
This paper extends frame theory to Hilbert C*-modules by introducing dual *-K-g-frames, and explores their properties and applications in tensor products of such modules.
Contribution
It introduces the concept of dual *-K-g-frames in Hilbert A-modules and studies their behavior in tensor product spaces, advancing the theoretical framework.
Findings
Introduction of dual *-K-g-frames in Hilbert A-modules
Results on *-K-g-frames in tensor product modules
New theorems establishing properties of these frames
Abstract
Frame theory has a great revolution in recent years. This new Theory have been extended from Hilbert spaces to Hilbert C*-modules. In this paper, we introduce the notion of dual *-K-g-frames in Hilbert A-modules. Lastly we study *-K-g-frames in tensor product of Hilbert C*-Modules and we establish some new results.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Medical Imaging Techniques and Applications · Algebraic structures and combinatorial models