On Hilbert-Schmidt frames for operators and Riesz bases

DOI10.15407/MAG19.03.799MaRDI QIDQ6493801

Lalit Kumar Vashisht, Unnamed Author

Publication date: 29 April 2024

Published in: Journal of Mathematical Physics, Analysis, Geometry (Search for Journal in Brave)

zbMATH Keywords

perturbationframesHilbert-Schmidt framesK-frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

• Weaving properties of generalized continuous frames generated by an iterated function system
• Iterative actions of normal operators
• Some properties of \(K\)-frames in Hilbert spaces
• Finite frames. Theory and applications.
• Generalized continuous frames constructed by using an iterated function system
• A basis theory primer.
• Frames for operators
• Weaving \(K\)-frames in Hilbert spaces
• Stability of \(g\)-frames
• \(\mathcal K\)-matrix-valued wave packet frames in \(L^2(\mathbb R^d,\mathbb C^{s\times r})\)
• Generalized weaving frames for operators in Hilbert spaces
• Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces
• Von Neumann-Schatten frames in separable Banach spaces
• On matrix-valued wave packet frames in \(L^2(\mathbb{R}^d, \mathbb{C}^{s\times r})\)
• Operators related to the reconstruction property in Banach spaces
• Orthogonal wavelet frames and vector-valued wavelet transforms
• \(g\)-frames and \(g\)-Riesz bases
• Schatten-class operators and frames
• HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS
• The Paulsen Problem in operator theory
• An introduction to frames and Riesz bases

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