On redundancy, dilations and canonical duals of \(g\)-frames in Hilbert spaces

DOI10.15352/bjma/09-4-5zbMath1408.46025OpenAlexW1534178664MaRDI QIDQ2341476

Xun Xiang Guo

Publication date: 24 April 2015

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1429286058

zbMATH Keywords

dilationredundancy\(g\)-frame\(g\)-Riesz basisexact \(g\)-frame

Mathematics Subject Classification ID

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

Related Items (4)

Dilations of (dual) Hilbert-Schmidt frames ⋮ G-Frame and Riesz Sequences in Hilbert Spaces ⋮ Joint similarities and parameterizations for dilations of dual \(g\)-frame pairs in Hilbert spaces ⋮ Some results on fusion frames and g-frames

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact g-frames in Hilbert spaces
• g-Besselian frames in Hilbert spaces
• Characterizations of \(g\)-frames and \(g\)-Riesz bases in Hilbert spaces
• Excess of a class of g-frames
• Dilations and completions for Gabor systems
• The art of frame theory
• \(g\)-frames and \(g\)-frame sequences in Hilbert spaces
• Fusion frames and \(g\)-frames
• \(g\)-frames and \(g\)-Riesz bases
• Expansion theorems of Paley-Wiener type
• Dilation theory yesterday and today
• Dilations and Hahn Decompositions for Linear Maps
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• A Class of Nonharmonic Fourier Series

This page was built for publication: On redundancy, dilations and canonical duals of \(g\)-frames in Hilbert spaces