- Abstract:
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We study an additive perturbation theorem for substochastic semigroups which is known as Kato's Theorem. There are two previously-known generalisations of Kato's Theorem, namely for abstract state spaces and for KB-spaces. We prove a version of Kato's Theorem for a class of spaces which encompasses both, namely ordered Banach spaces with generating cone and monotone norm. We also study a property of the perturbed semigroup in Kato's Theorem known as honesty of the semigroup. We add a few ...
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- Type of award:
- DPhil
- Awarding institution:
- University of Oxford
- Language:
- English
- Keywords:
- Subjects:
- Copyright date:
- 2015
Thesis
Kato's perturbation theorem and honesty theory
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