FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES

DOI10.1142/S0219691308002458zbMath1153.46035MaRDI QIDQ3521507

Behrooz Khosravi, Amir Khosravi

Publication date: 26 August 2008

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Mathematics Subject Classification ID

(C^*)-modules (46L08) General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (38)

New inequalities of \(K\)-g-frames in submodules ⋮ Weaving K-fusion frames in Hilbert spaces ⋮ Controlled *-G-Frames and their *-G-Multipliers IN Hilbert C*-Modules ⋮ g-FRAMES AND MODULAR RIESZ BASES IN HILBERT C*-MODULES ⋮ WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES ⋮ GENERALIZED p-FRAME IN SEPARABLE COMPLEX BANACH SPACES ⋮ Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras ⋮ Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules ⋮ Fusion frames and \(g\)-frames in Banach spaces ⋮ Non-orthogonal fusion frames in Hilbert C∗-modules ⋮ Unnamed Item ⋮ Woven $g$-frames in Hilbert $C^*$-modules ⋮ Invertibility of multipliers in Hilbert C*-modules ⋮ Characterizations of woven g-frames and weaving g-frames in Hilbert spaces and \(C^\ast\)-modules ⋮ Some properties of c-K-g-frames in Hilbert C*-modules ⋮ Invertibility of g-frame multipliers and Bessel multipliers for unitary systems in Hilbert C*-modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fusion frames for operators in Hilbert \(C^\ast\)-modules ⋮ G-frames for operators in Hilbert $C^{\ast}$-modules ⋮ Unnamed Item ⋮ Continuous \(g\)-frame in Hilbert \(C^{\ast}\)-modules ⋮ On stability of G-frames in Hilbert pro-\(C^\ast\)-modules ⋮ Erasures and perturbations of g-frames and fusion frames in Hilbert C∗-modules ⋮ Some generalizations of frames in Hilbert modules ⋮ A note on the stability of g-frames in Hilbert C^*-modules ⋮ Algebra-valued G-Frames in Hilbert C^∗-modules ⋮ Modular Riesz bases versus Riesz bases in Hilbert C∗-modules ⋮ Unnamed Item ⋮ Similar generalized frames ⋮ Unnamed Item ⋮ On some equalities and inequalities of fusion frame in Hilbert $C^*$-modules ⋮ \(\ast\)-g-frames in tensor products of Hilbert \(C^\ast\)-modules ⋮ Some properties of g-frames in Hilbert \(C^{*}\)-modules ⋮ On stability of g-frames and g-Riesz bases in Hilbert C*-modules ⋮ Unnamed Item ⋮ Bessel multipliers in Hilbert \(C^\ast\)-modules ⋮ Controlled g-fusion frame in Hilbert space

Cites Work

• Oblique dual frames and shift-invariant spaces
• Pseudoframes for subspaces with applications
• Frames and bases in tensor products of Hilbert spaces and Hilbert \(C^*\)-modules
• Frames and bases of subspaces in Hilbert spaces
• \(g\)-frames and \(g\)-Riesz bases
• A description of Hilbert 𝐶*-modules in which all closed submodules are orthogonally closed

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