6 papers
The topology of finite and infinite-dimensional Stiefel manifolds and the relation to Grassmannians
Nizar El Idrissi
Stiefel manifolds arise naturally as spaces of injective operators and as total spaces of principal bundles over Grassmannians. While their finite-dimensional topology is governed…
Path-connectedness of the intersection of translates of St(n,H)
Nizar El Idrissi, Samir Kabbaj, Brahim Moalige
If is a Hilbert space, the Stiefel manifold is formed by all the independent -tuples in . In this article, we contribute to the topological study of Stiefel man…
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…
Controlled -Fusion Frame for Hilbert Spaces
N. Assila, S. Kabbaj, B. Moalige
-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled -fusion frames, and we de…
Dual continuous -Frames in Hilbert spaces
Mohamed Rossafi, Brahim Moalige, Hamid Faraj +2
Frame theory is recently an active research area in mathematics, computer science and engineering with many exciting applications in a variety of different fields. This theory has…