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 + epsilon V, epsilon is an element of R.
Stability of the gapless pure point spectrum of self-adjoint operators
Facchi, Paolo;Ligabo, Marilena
2024-01-01
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 + epsilon V, epsilon is an element of R.File in questo prodotto:
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