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- W2525476688 abstract "An analogue of the Davis-Kahan sin 2Θ theorem from (SIAM J Numer Anal 7:1-46, 1970) is proved under a general spectral separation condition. This extends the generic sin 2θ estimates recently shown by Albeverio and Motovilov in (Complex Anal Oper Theory 7:1389-1416, 2013). The result is applied to the subspace perturbation problem to obtain a bound on the arcsine of the norm of the difference of the spectral projections associated with isolated components of the spectrum of the unperturbed and perturbed operators, respectively." @default.
- W2525476688 created "2016-10-07" @default.
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- W2525476688 date "2014-01-01" @default.
- W2525476688 modified "2023-09-24" @default.
- W2525476688 title "Notes on the sin 2Θ Theorem" @default.
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