On finite rank Hankel operators
classification
🧮 math.FA
math.SP
keywords
finitehankeloperatorsranknegativetotalcarlemanchange
read the original 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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