Spectral Families and Geometry Of Banach Spaces
dc.contributor.advisor
Gillespie, Alastair
en
dc.contributor.author
Blagojevic, Danilo
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dc.date.accessioned
2008-07-21T13:36:36Z
dc.date.available
2008-07-21T13:36:36Z
dc.date.issued
2007
dc.description.abstract
The principal objects of study in this thesis are arbitrary spectral families, E, on
a complex Banach space X. The central theme is the relationship between the
geometry of X and the p-variation of E. We show that provided X is super-
reflexive, then given any E, there exists a value 1 · p < 1, depending only on E
and X, such that var p(E) < 1. If X is uniformly smooth we provide an explicit
range of such values p, which depends only on E and the modulus of convexity
of X*, delta X*(.).
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dc.format.extent
596948 bytes
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dc.format.mimetype
application/pdf
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dc.identifier.uri
http://hdl.handle.net/1842/2389
dc.language.iso
en
dc.subject
Mathematics
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dc.title
Spectral Families and Geometry Of Banach Spaces
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dc.type
Thesis or Dissertation
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dc.type.qualificationlevel
Doctoral
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dc.type.qualificationname
PhD Doctor of Philosophy
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