Thesis

Banach spaces with few operators and multiplier results

Abstract:

The construction of a non-separable reflexive Banach space on which every operator is the sum of a scalar multiple of the identity operator and an operator of separable range is presented.

Using a result of Rao, a sufficient condition is given for Banach spaces with smooth norms to be decomposable.

It is shown that operators on Banach spaces of co-dimension one in their biduals are the sum of a scalar multiple of the identity operator and a weakly compact operator. The Banac...

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Institution:
University of Oxford
Role:
Author
Publication date:
1997
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
602819893
URN:
uuid:467c7ec7-d9f1-41cd-9fa9-0f97894ac6a5
Local pid:
td:602819893
Language:
English
Subjects: