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- W411412094 abstract "In this note the properties of the peripheral spectrumof a nonnegative linear operator A (for which the spectral radius is a pole of its resolvent) in a complex Banach lattice are studied. It is shown, e.g., that the peripheral spectrum of a natural quotient operator is always fully cyclic. We describe when the nonnegative eigenvectors corresponding to the spectral radius r span the kernel N(r A). Finally, we apply our results to the case of a nonnegative matrix, and show that they sharpen earlier results by B.-S. Tam [Tamkang J. Math. 21:65{70, 1990] on such matrices and full cyclicity of the peripheral spectrum. AMS subject classi cations. 47B65, 47A10, 15A48" @default.
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- W411412094 date "1998-01-01" @default.
- W411412094 modified "2023-09-26" @default.
- W411412094 title "On nonnegative operators and fully cyclic peripheral spectrum" @default.
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- W411412094 doi "https://doi.org/10.13001/1081-3810.1011" @default.
- W411412094 hasPublicationYear "1998" @default.
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