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Title: Banach spaces of analytic vector-valued functions
Author: Barclay, Steven John
ISNI:       0000 0001 3444 6295
Awarding Body: University of Leeds
Current Institution: University of Leeds
Date of Award: 2007
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The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane. The first part of the thesis looks at the factorization of square matrix-valued boundary functions, beginning with spectral factorization in Chapter 2. Then ideas involving approximations with inner and outer functions are used to solve a matrix analogue of the Douglas-Rudin problem in Chapter 3. In both cases, considerable considerable extra difficulties are created by the noncommutativity of matrix multiplication. More specifically, we show that the matrix spectral factorization mapping is sequentially continuous from LP to H2p (where 1
Supervisor: Partington, Jonathan R. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available