New characterizations of fusion frames (frames of subspaces)

DOI10.1007/s12044-009-0036-xzbMath1174.46017OpenAlexW2062585098MaRDI QIDQ732863

Mohammad Sadegh Asgari

Publication date: 15 October 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-009-0036-x

zbMATH Keywords

pseudo-inversesexact fusion frameBessel fusion sequencefusion frame (frames of subspaces)orthonormal fusion basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (14)

Continuous atomic systems for subspaces ⋮ Non-orthogonal fusion frames of an analytic operator and application to a one-dimensional wave control system ⋮ Generalized Continuous Frames for Operators ⋮ Fusion-Riesz frame in Hilbert space ⋮ Robust dual reconstruction systems and fusion frames ⋮ Relay fusion frames and bridging results for fusion frames ⋮ Representation of operators using fusion frames ⋮ A note on perturbations of fusion frames ⋮ Subfusion frames ⋮ Weaving Hilbert space fusion frames ⋮ Discretization of continuous frame ⋮ Some results about operator perturbation of fusion frames in Hilbert spaces ⋮ Unnamed Item ⋮ Erasures and equalities for fusion frames in Hilbert spaces

Cites Work

• Unnamed Item
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• On the perturbation of the reduced minimum modulus of bounded linear operators.
• Quasi-orthogonal decompositions of structured frames.
• On the duality of fusion frames
• Some properties of frames of subspaces obtained by operator theory methods
• Frames and bases of subspaces in Hilbert spaces
• Frames, bases and group representations
• Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
• Continuous and Discrete Wavelet Transforms
• Robustness of fusion frames under erasures of subspaces and of local frame vectors
• Frames and Bases in Tensor Product of Hilbert Spaces
• An introduction to frames and Riesz bases

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