6533b860fe1ef96bd12c38cd
RESEARCH PRODUCT
Approximations of positive operators and continuity of the spectral radius III
V. CasellesFrancesc Aràndigasubject
Pure mathematicsSequenceOperator (computer programming)Rank (linear algebra)Spectral radiusSpectrum (functional analysis)General MedicineLimit (mathematics)Eigenvalues and eigenvectorsMathematicsResolventdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-12-01 | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics |