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University of Illinois at Urbana-Champaign
Weak Radon-Nikdoym Sets in Dual Banach Spaces
Abstract
dc:descriptionThe interplay between geometry, topology, measure theory and operator theory has long been evident in the study of the Radon-Nikodym property. Recently results of substantial interest in the structure of Banach spaces have been obtained by localizing these ideas to individual subsets. The study of the Radon-Nikodym property for subsets of Banach spaces can be thought of as the study of subsets of Banach spaces whose structural properties mimic those of the unit ball of a separable dual space.
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
-
- Riddle, Lawrence Hollister
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8218549
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71203