Metadata
bibkey: grovergupta2026strictspectral
authors: Priyanka Grover; Krishna Kumar Gupta
year: 2026
title: Properties of best approximations with respect to the Ky Fan p-k norm, and the strict spectral approximant of a matrix
doi: 10.1016/j.laa.2026.04.016
url: https://arxiv.org/abs/2603.07498v2
claim: The Schatten-p limit question remains open in general, and Theorem 3.7 proves it when min(m,n) is at most two.
strata_touched:
- D5/S3/Quantum/NormCompression/StrictSpectralPolyaRefutation
license: citation-only
triage: anchor
Verified locator
DOI: 10.1016/j.laa.2026.04.016
Source: https://arxiv.org/abs/2603.07498v2
Scope
Linear Algebra and its Applications 743, 102–122; arXiv:2603.07498v2. Equation (5) restates the Schatten-p convergence question. Theorem 3.7 establishes the case min(m,n) ≤ 2. Remark 3.8 concerns an auxiliary residual choice. The three-dimensional refutation does not alter that theorem.