Perturbation of spectra and spectral subspaces
classification
🧮 math.SP
math-phmath.MP
keywords
spectralsubspacesconsiderdifferenceestimateslinearnormnumber
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We consider the problem of variation of spectral subspaces for linear self-adjoint operators under off-diagonal perturbations. We prove a number of new optimal results on the shift of the spectrum and obtain (sharp) estimates on the norm of the difference of two spectral projections.
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