Thesis

### The bounded H^{infinity} calculus for sectorial, strip-type and half-plane operators

Abstract:

The main study of this thesis is the holomorphic functional calculi for three classes of unbounded operators: sectorial, strip-type and half-plane. The functional calculus for sectorial operators was introduced by McIntosh as an extension of the Riesz-Dunford model for bounded operators. More recently Haase has developed an abstract framework which incorporates analogous constructions for strip-type and half-plane operators. These operators are of interest since they arise naturally as gen...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

#### Contributors

Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Keywords:
Subjects:
UUID:
uuid:6bff352d-f858-492a-a00b-3a3dd2049b5c
Deposit date:
2017-07-10