Abstract
dc:description.abstract<p>An example of a Banach space, X<sub>∞</sub>, with a nonseparable dual such that <em>l</em><sub>1</sub> does not imbed in X<sub>∞</sub> is investigated. Not every weakly null sequence has a subsequence equivalent to the usual basis of c<sub>0</sub>, but c<sub>0</sub> imbeds in many subspaces of X<sub>∞</sub>. The space <em>l</em><sub>1</sub> does imbed in X<sub>∞</sub><sup>∗</sup>, the dual space of X<sub>∞</sub>, yet weakly converging sequences in X<sub>∞</sub><sup>∗</sup> need not converge in norm.</p>
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Year dc:date.available
- 2009
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Locke, Annette B.
- Contributors dc:contributor
-
- James N. Hagler, Ph.D.
- Alvaro Arias
- Stanley Gudder
- Frederic Latremoliere
- Susan E. Sadler
Subjects
dc:subject × 4Rights
dc:rights- Statement dc:rights
-
- <p>Copyright is held by the author. User is responsible for all copyright compliance.</p>
- Language dc:language
- en
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://digitalcommons.du.edu/etd/377
- OAI identifier oai:identifier
- oai:digitalcommons.du.edu:etd-1376