Perturbation of frame sequences and its applications to shift-invariant spaces

DOI10.1016/j.laa.2006.07.009zbMath1106.42025OpenAlexW2049569568MaRDI QIDQ860991

Jae Kun Lim, Yoo Young Koo

Publication date: 9 January 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.07.009

zbMATH Keywords

Riesz basisperturbationframeRiesz sequenceframe sequenceangle between subspaces

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Summability and bases in topological vector spaces (46A35)

Related Items (9)

Invariances of frame sequences under perturbations ⋮ On sum and stability of g-frames in Hilbert spaces ⋮ Making more approximate oblique dual frame pairs ⋮ New characterizations of Riesz-type frames and stability of alternate duals of continuous frames ⋮ PERTURBED FRAME SEQUENCES: CANONICAL DUAL SYSTEMS, APPROXIMATE RECONSTRUCTIONS AND APPLICATIONS ⋮ Singular value estimates of oblique projections ⋮ Averaged controllability of parameter dependent conservative semigroups ⋮ Sum of disjoint frame sequences ⋮ Duals of frame sequences

Cites Work

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