Every frame is a sum of three (but not two) orthonormal bases -- and other frame representations

DOI10.1007/BF02479676zbMath0935.46022arXivmath/9811148MaRDI QIDQ1282026

Peter G. Casazza

Publication date: 24 April 2000

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

Full work available at URL: https://arxiv.org/abs/math/9811148

zbMATH Keywords

Riesz basistight framesorthonormal basesframe for a Hilbert space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Positive linear operators and order-bounded operators (47B65)

Related Items (5)

Characterizations and Representations of H-S-Frames in Hilbert Spaces ⋮ Operator characterizations and some properties of \(g\)-frames on Hilbert spaces ⋮ Characterization of continuous $g$-frames via operators ⋮ Decompositions of \(g\)-frames and duals and pseudoduals of \(g\)-frames in Hilbert spaces ⋮ Symmetric approximation of frames and bases in Hilbert spaces

Cites Work

• Frames, bases and group representations
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