Ela on Nonnegative Operators and Fully Cyclic Peripheral Spectrum
نویسندگان
چکیده
In this note the propertiesof the peripheral spectrum of a nonnegativelinear 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 Nr , A. Finally, w e apply our results to the case of a nonnegative matrix, and show that they sharpen earlier results by B.-S. Tam Tamkang J. Math. 21:65570, 19900 on such matrices and full cyclicity of the peripheral spectrum.
منابع مشابه
On nonnegative operators and fully cyclic peripheral spectrum
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 ...
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تاریخ انتشار 1998