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Robustness of controlled -Fusion Frame in Hilbert C-modules under erasures of submodules
Nadia Assila, Samir Kabbaj, Mohamed Otmani
Controlled -K-fusion frames are generalization of controlled fusion frames in frame theory. In this paper, we propose the notion of controlled -k-fusions frames on Hilb…
Independence, infinite dimension, and operators
Nizar El Idrissi, Samir Kabbaj
In [Appl. Comput. Harmon. Anal., 46(3):664-673, 2019], O. Christensen and M. Hasannasab observed that assuming the existence of an operator sending to for all $…
Intersections of translates of finite-dimensionally valued frame spaces are conditionally slice-full and almost slice-full
Nizar El Idrissi
In recent work, the topology of frame spaces has been studied via Stiefel manifolds, revealing in particular a connectedness property for intersections of t…
Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold
Nizar El Idrissi, Samir Kabbaj, Brahim Moalige
If is a Hilbert space, the non-compact Stiefel manifold consists of independent -tuples in . In this article, we contribute to the topological study of non-comp…