Frames and bases in tensor products of Hilbert spaces and Hilbert \(C^*\)-modules

DOI10.1007/s12044-007-0001-5zbMath1125.46048arXivmath/0703582OpenAlexW2057217255MaRDI QIDQ2370540

Behrooz Khosravi, Amir Khosravi

Publication date: 26 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0703582

zbMATH Keywords

frame operatorframetensor productHilbert \(C^*\)-module

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) (C^*)-modules (46L08) General harmonic expansions, frames (42C15)

Related Items (23)

Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces ⋮ g-FRAMES AND MODULAR RIESZ BASES IN HILBERT C*-MODULES ⋮ Admissible Vectors of a Covariant Representation of a Dynamical System ⋮ Fusion frames and \(g\)-frames in Banach spaces ⋮ Unnamed Item ⋮ Controlled frame for operator in Hilbert \(\mathrm{C}^\ast \)-modules ⋮ On controlled frames in Hilbert C∗-modules ⋮ ∗-K-operator frame for End𝒜∗(ℋ) ⋮ FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES ⋮ Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Continuous \(g\)-frame in Hilbert \(C^{\ast}\)-modules ⋮ Frames of multipliers in tensor products of Hilbert modules over pro-\(C^{*}\)-algebras ⋮ On stability of G-frames in Hilbert pro-\(C^\ast\)-modules ⋮ Controlled \(*\)-operator frames on Hilbert \(C^*\)-modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(\ast\)-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 ⋮ Phase retrieval and norm retrieval in tensor product space ⋮ Unnamed Item

Cites Work

• The art of frame theory
• Painless nonorthogonal expansions
• Frames, bases and group representations
• Continuous and Discrete Wavelet Transforms
• Geometric aspects of frame representations of abelian groups
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
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