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- W1969934680 abstract "Soit Q un opérateur positif quasi-compact sur un espace ordonné ℬ, et soit t Q(t) une perturbation régulière de Q(0) = Q, par exemple du type transformée de Fourier de Q lorsque Q est un noyau. Sous certaines hypothèses sur ℬ et Q, on démontre que le spectre périphérique de Q est cyclique, et que cette propriété s'étend à Q(t) au voisinage de t = 0. Let Q be a positive quasi-compact operator on an ordered vector space ℬ, and let tQ(t) be a regular perturbation of Q(0) = Q, for instance a Fourier transform of Q when Q is a kernel. Under some hypotheses on ℬ and Q, we prove that the peripheral spectrum of Q is cyclic, and that this property extends to Q(t) for small t." @default.
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- W1969934680 date "1999-03-01" @default.
- W1969934680 modified "2023-10-01" @default.
- W1969934680 title "Étude du spectre périphérique de certaines perturbations d'opérateurs quasi-compacts" @default.
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- W1969934680 doi "https://doi.org/10.1016/s0764-4442(99)80182-7" @default.
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