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arXiv · 1304.2677

On finite rank Hankel operators

D. R. Yafaev
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Abstract

For self-adjoint Hankel operators of finite rank, we find an explicit formula for the total multiplicity of their negative and positive spectra. We also show that very strong perturbations, for example, a perturbation by the Carleman operator, do not change the total number of negative eigenvalues of finite rank Hankel operators.

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D. R. Yafaev. 2013-04-09. On finite rank Hankel operators. https://arxiv.org/abs/1304.2677

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