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Thesis

Operators on banach spaces of Bourgain-Delbaen type

Abstract:

The research in this thesis was initially motivated by an outstanding problem posed by Argyros and Haydon. They used a generalised version of the Bourgain-Delbaen construction to construct a Banach space $XK$ for which the only bounded linear operators on $XK$ are compact perturbations of (scalar multiples of) the identity; we say that a space with this property has very few operators. The space $XK$ possesses a number of additional interesting properties, most notably, it has $ell_1$ dual...

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Institution:
University of Oxford
Research group:
Oxford Functional Analysis Group
Oxford college:
St John's College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:4be220be-9347-48a1-85e6-eb0a30a8d51a
Local pid:
ora:7453

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