Abstract
dc:descriptionThe examples discussed in this paper are related to the atomic space problem: Is there an infinite dimensional space with no proper closed infinite dimensional subspace? This question is equivalent to one first posed by A. Pelczynski; namely, does every infinite dimensional metric linear space have an infinite dimensional subspace with a nonzero continuous linear functional?
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
-
- Evans, Dennis Neal
- Contributors dc:contributor
-
- Peck, T.,
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI9314864
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/72537