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Paper detail

One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum

We study spectral properties of one-dimensional singular perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a perturbation of this type. A counterpart of our results for the case of bounded operators provides a complete description of compact selfadjoint operators whose rank one perturbation is a Volterra operator.

preprint2013arXivOpen access
Anton D. BaranovDmitry V. Yakubovich
math.CVmath.FAmath.SP
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Anton D. BaranovDmitry V. Yakubovich

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