Logo Logo
Hilfe
Hilfe
Switch Language to English

Bögli, Sabine (2018): Local convergence of spectra and pseudospectra. In: Journal of Spectral Theory, Bd. 8, Nr. 3: S. 1051-1098 [PDF, 1MB]

[thumbnail of JST-2018-008-003-10.pdf]
Vorschau

Download (1MB)

Abstract

We establish spectral convergence results of approximations of unbounded non-selfadjoint linear operators with compact resolvents by operators that converge in generalized strong resolvent sense. The aim is to establish general assumptions that ensure spectral exactness, i.e. that every true eigenvalue is approximated and no spurious eigenvalues occur. A main ingredient is the discrete compactness of the sequence of resolvents of the approximating operators. We establish sufficient conditions and perturbation results for strong convergence and for discrete compactness of the resolvents.

Dokument bearbeiten Dokument bearbeiten