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Kato's perturbation theorem and honesty theory

Abstract:

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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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Supervisor
Yayasan Khazanah More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
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UUID:
uuid:c72c308b-d96d-4e31-a854-f2a10e99eeb6
Deposit date:
2015-10-29

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