I have been working on a problem which requires a lower bounds on the Principal angle between subspaces. Specifically, I was looking for tight lower bounds similar to the Davis Kahan $\sin \theta$ theorem. I have found some basic results for very specific models (the spiked covariance model for PCA, particularly for the rank 1 case) but was wondering if there are any references which apply to more generic Hermitian (even PSD for that matter) matrices
2026-03-28 14:37:53.1774708673
Davis-Kahan type results for lower bounds
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