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E. Saksman

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Preprint Aug 2026

Analysis of the Singular Spectrum for General Perturbations

We investigate the behavior of the singular spectrum of self-adjoint operators under families of Hermitian perturbations, even non-compact ones. Under mild assumptions we have the ``shift''of the singular spectrum for almost all values of the parameter. Moreover, if we consider trace class perturbations, we observe the...

C. Liaw, E. Saksman, Sergei Treil · 0 citations

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