Symmetric approximation of frames and bases in Hilbert spaces

DOI10.1090/S0002-9947-01-02838-0zbMath0984.42021arXivmath/9812052MaRDI QIDQ2759077

Michael Frank, Terry R. Tiballi, Vern I. Paulsen

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9812052

zbMATH Keywords

Riesz basisframesymmetric orthogonalization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Numerical methods for wavelets (65T60)

Related Items (16)

Tight frame approximation for multi-frames and super-frames ⋮ Approximations for Gabor and wavelet frames ⋮ Stability of \(g\)-frames ⋮ Frame representations and Parseval duals with applications to Gabor frames ⋮ HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS ⋮ Approximation by partial isometries and symmetric approximation of finite frames ⋮ Normalized tight vs. general frames in sampling problems ⋮ Global symmetric approximation of frames ⋮ Minimality of the data in wavelet filters (with an appendix by Brian Treadway) ⋮ Unnamed Item ⋮ Approximation of the polar factor of an operator acting on a Hilbert space ⋮ Tight frames, partial isometries, and signal reconstruction ⋮ Optimal orthogonalization processes ⋮ On frames for countably generated Hilbert 𝐶*-modules ⋮ On a conjecture by Mbekhta about best approximation by polar factors ⋮ Preconditioning filter bank decomposition using structured normalized tight frames

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