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arXiv · 1308.5709

Finite extensions of Bessel sequences

Damir Bakić·Tomislav Berić
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Abstract

The paper studies finite extensions of Bessel sequences in infinite-dimensional Hilbert spaces. We provide a characterization of Bessel sequences that can be extended to frames by adding finitely many vectors. We also characterize frames that can be converted to Parseval frames by finite-dimensional perturbations. Finally, some results on excesses of frames and near-Riesz bases are derived.

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BibTeXRIS

Damir Bakić, Tomislav Berić. 2013-08-26. Finite extensions of Bessel sequences. https://doi.org/10.15352/bjma%2F09-4-1

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