Approximations of positive operators and continuity of the spectral radius II
Copyright policy )Approximations of positive operators and continuity of the spectral radius II
AbstractWe prove estimates on the speed of convergence of the ‘peripheral eigenvalues’ (and principal eigenvectors) of a sequence Tn of positive operators on a Banach lattice E to the peripheral eigenvalues of its limit operator T on E which is positive, irreducible and such that the spectral radius r(T) of T is a Riesz point of the spectrum of T (that is, a pole of the resolvent of T with a residuum of finite rank) under some conditions on the kind of approximation of Tn to T. These results sharpen results of convergence obtained by the authors in previous papers.
- UNIVERSITE MARIE ET LOUIS PASTEUR France
- DigiZeitschriften Germany
- University of Valencia Spain
- University of the Balearic Islands Spain
- University of Franche-Comté France
Banach lattices, peripheral spectrum, spectral radius, approximate spectrum, principal eigenvectors, positive operators in a Banach lattice, Approximation by positive operators, Positive linear operators and order-bounded operators, residuum of finite rank, Riesz point of the spectrum, Banach lattice, Article, Spectral sets of linear operators, 510.mathematics, Riesz point, estimates on the speed of convergence, peripheral eigenvectors, Spectrum, resolvent, positive operator, peripheral eigenvalues
Banach lattices, peripheral spectrum, spectral radius, approximate spectrum, principal eigenvectors, positive operators in a Banach lattice, Approximation by positive operators, Positive linear operators and order-bounded operators, residuum of finite rank, Riesz point of the spectrum, Banach lattice, Article, Spectral sets of linear operators, 510.mathematics, Riesz point, estimates on the speed of convergence, peripheral eigenvectors, Spectrum, resolvent, positive operator, peripheral eigenvalues
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