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University of Illinois at Urbana-Champaign
Spectral Decompositions of Isometries on Hardy Spaces of the Disk and the Torus
Abstract
dc:descriptionSpectral decompositions of strongly continuous one-parameter groups of surjective isometries on H('p)( ID ) and H('p)( TT ('2)), as well as logarithms of (single) members of these groups along with their spectral decompositions are examined, mainly in light of the abstract results derived by E. Berkson, T. A. Gillespie and P. S. Muhly (1986) concerning uniformly bounded one-parameter groups and (single) power-bounded operators on UMD spaces.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Karayannakis, Dimitri
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8701525
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71244