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arXiv · 2510.18993

Pseudo- Riesz Bases

Deborpita Biswas·Mishko Mitkovski
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Abstract

In~\cite{holub1994bases} Holub introduced the concept of near-Riesz bases, as frames that can be considered Riesz bases for computational purposes or that exhibit certain desirable properties of Riesz bases. In this paper, we introduce a generalization of near-Riesz bases that includes sequences which are not necessarily frames. We demonstrate that this broader class of sequences retains many of the desirable properties of near-Riesz bases and establish fundamental perturbation results for this new class.

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Deborpita Biswas, Mishko Mitkovski. 2025-10-21. Pseudo- Riesz Bases. https://arxiv.org/abs/2510.18993

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