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arXiv · 2609.22528

Nagy and Pollard-Hilding-Type Stability of Hilbert-Schmidt Frames

Jyoti·Ruchi·Lalit Kumar Vashisht
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Abstract

We establish several sufficient conditions ensuring that a perturbed family of operators in a given Hilbert-Schmidt frame for a separable Hilbert space remains a Hilbert-Schmidt frame. The perturbation criteria are formulated through Nagy-type and Pollard-Hilding-type inequalities, yielding explicit estimates for the resulting frame bounds. Several examples are presented to illustrate the applicability of the results.

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Jyoti, Ruchi, Lalit Kumar Vashisht. 2026-09-18. Nagy and Pollard-Hilding-Type Stability of Hilbert-Schmidt Frames. https://arxiv.org/abs/2609.22528

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