Angle criteria for frame sequences and frames containing a Riesz basis

DOI10.1016/j.jmaa.2008.05.095zbMath1152.42005OpenAlexW2035528332MaRDI QIDQ936574

In-Sook Shin, Han-Young Ryu, Young-Hwa Ha

Publication date: 14 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.095

zbMATH Keywords

Riesz basisangleframeexcessnear Riesz basisRiesz frame

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (7)

The characterization of a class of subspace pseudoframes with arbitrary real number translations ⋮ Construction of a sort of multiple pseudoframes for subspaces with filter banks ⋮ Cubic spline wavelets with four vanishing moments on the interval and their applications to option pricing under Kou model ⋮ Sum of disjoint frame sequences ⋮ Galerkin method with new quadratic spline wavelets for integral and integro-differential equations ⋮ Sum and direct sum of frame sequences ⋮ Fractal Sobolev systems of functions associated with orthonormal systems of functions

Cites Work

• Weighted projections and Riesz frames
• New characterizations of Riesz bases
• Characterizing Hilbert space frames with the subframe property
• Excesses of Gabor frames
• Decomposition of Riesz frames and wavelets into a finite union of linearly independent sets
• Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods
• Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to \(c_ 0\)
• Nullspaces and frames
• Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces
• Frames Containing a Riesz Basis and Preservation of This Property Under Perturbations
• Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
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