A note on Kato's perturbation theory
- 1 July 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (7) , 829-830
- https://doi.org/10.1063/1.1666403
Abstract
The results of T. Kato are expanded by generalizing the relative bound condition on the perturbation to determine the domain of powers of the perturbed operator and by exhibiting some useful relative bounds between the unperturbed operator, the perturbed operator, and the perturbation.Keywords
This publication has 1 reference indexed in Scilit:
- Quantum field theoretic properties of a model of Nelson: Domain and eigenvector stability for perturbed linear operatorsJournal of Functional Analysis, 1971