On finite rank Hankel operators

Dimitri R Yafaev (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Mots clés: the Carleman operator and its perturbations; total multiplicity of the positive and negative spectra; Necessary and sufficient conditions for the sign-definiteness; The sign-function

Domaines: Equations aux dérivées partielles [math.AP]

Dimitri R Yafaev. On finite rank Hankel operators. Journal of Functional Analysis, 2015, 268 (7), pp.1808-1839. ⟨10.1016/j.jfa.2014.12.005⟩. ⟨hal-01113027⟩