Abstract:SummaryThis thesis is concerned with the relationship between spectral decomposition of operators, the functional calculi that operators admit, and Banach space structure.The deep connection between the first two of these concepts has long been known.The thesis is organised as follows. Chapter 1 is an introduction to the concepts, ideas and constructions that will be used through at this thesis. Particularly we consider numerical range and hermitian operators which have a critical role in all this thesis.In Ch… Show more
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