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University of Illinois at Urbana-Champaign
Uniform Convergence of Operators and Grothendieck Spaces With the Dunford-Pettis Property
Abstract
dc:descriptionA theorem of D. W. Dean states that all Grothendieck spaces with the Dunford-Pettis property fail to admit Schauder decompositions. Similar results of H. P. Lotz concern the uniform convergence of ergodic operators and semi-groups of operators. This thesis considers extensions of these results to wider classes of Banach 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
-
- Leung, Denny Ho-Hon
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8711827
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71250