Complemented subspaces of weakL(1)

The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for separable Banach spaces. In this paper, we can see the complemented Banach subspaces of $wL\sb{\1}.$ In particular, the space $wL\sb{\1}$ contains complemented Banach sublattices that are isometrically isomorphic l\sp{p} (1 \le p < \infty) and $c\sb0.$ Moreover, if E is a separable reflexive Banach lattice, then the space $wL\sb{\1}$ contains a complemented sublattice that is isometrically isomorphic to E. Also we can see nonseparable complemented subspaces of $wL\sb{\1}.$ Finally, we show a couple of noncomplemented subspaces of $wL\sb{\1}.$

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 dc:creator

• Kang, Jeongheung

Contributors dc:contributor

• Peck, Tenney

• Mathematics

Statement dc:rights

• Copyright 1995 Kang, Jeongheung

Language dc:language

eng

Identifier

AAI9522128
(UMI)AAI9522128

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19279