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On the solvability complexity index for unbounded selfadjoint and Schrödinger operators

Rosler, Frank 2019. On the solvability complexity index for unbounded selfadjoint and Schrödinger operators. Integral Equations and Operator Theory 91 , 54. 10.1007/s00020-019-2555-x

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Abstract

We study the solvability complexity index (SCI) for unbounded selfadjoint operators on separable Hilbert spaces and perturbations thereof. In particular, we show that if the extended essential spectrum of a selfadjoint operator is convex, then the SCI for computing its spectrum is equal to 1. This result is then extended to relatively compact perturbations of such operators and applied to Schr ̈odinger operators with (complex valued) potentials decaying at infinity to obtain SCI=1 in this case, as well.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer Verlag
ISSN: 0378-620X
Funders: EPSRC
Date of First Compliant Deposit: 14 October 2019
Date of Acceptance: 3 September 2019
Last Modified: 13 Dec 2019 14:15
URI: http://orca.cf.ac.uk/id/eprint/127110

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