Gantmakher-Krein theorem for 2-totally nonnegative operators in ideal spaces

Simple item page
dc.creatorKushel, Olga Y.
dc.creatorZabreiko, Petr P.
dc.date2008-12-04
dc.date.accessioned2026-07-07T12:09:22Z
dc.date.available2026-07-07T12:09:22Z
dc.descriptionThe tensor and exterior squares of a completely continuous non-negative linear operator $A$ acting in the ideal space $X(Ω)$ are studied. The theorem representing the point spectrum (except, probably, zero) of the tensor square $A \otimes A$ in the terms of the spectrum of the initial operator $A$ is proved. The existence of the second (according to the module) positive eigenvalue $λ_2$, or a pair of complex adjoint eigenvalues of a completely continuous non-negative operator $A$ is proved under the additional condition, that its exterior square $A\wedge A$ is also nonnegative.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0812.0902
dc.identifierhttp://arxiv.org/abs/0812.0902
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209601
dc.subjectSpectral Theory
dc.subject47B65
dc.titleGantmakher-Krein theorem for 2-totally nonnegative operators in ideal spaces
dc.typetext

Files

Collections

arXiv