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Mathematical Physics
Title: Stability of the gapless pure point spectrum of self-adjoint operators
(Submitted on 10 Nov 2022)
Abstract: We consider a self-adjoint operator $T$ on a separable Hilbert space, with pure-point and simple spectrum with accumulations at finite points. Explicit conditions are stated on the eigenvalues of $T$ and on the bounded perturbation $V$ ensuring the global stability of the spectral nature of $T+V$.
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