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University of Illinois at Urbana-Champaign
On some spaces related to weak L(p) and their duals
Abstract
dc:description"In Cwikel's paper ""On the dual of Weak $L\sp{p}$"", it is shown that (Weak $L\sp{p})\sp\prime = L(p\sp\prime, 1)\oplus S\sb0\oplus S\sb\infty.$ For non-atomic measure spaces, Cwikel obtains a representation of elements in $S\sb0$ and $S\sb\infty.$ However, we show that this representation is incorrect by proving that if E is a non-reflexive weakly sequentially complete Banach lattice, then the disjoint complement of E in $E\sp{\prime\prime}$ is non-reflexive. So, we would like to obtain more information on (Weak $L\sp{p})\sp\prime$."
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
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Chung, Si Kit
- Contributors dc:contributor
-
- Lotz, Heinrich P.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 1993 Chung, Si Kit
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9411594
(UMI)AAI9411594 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/22064