## Files in this item

FilesDescriptionFormat

application/pdf

9522128.pdf (2Mb)
(no description provided)PDF

## Description

 Title: Complemented subspaces of weakL(1) Author(s): Kang, Jeongheung Doctoral Committee Chair(s): Peck, Tenney Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: 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 $wL\sb{\1}.$ Issue Date: 1995 Type: Text Language: English URI: http://hdl.handle.net/2142/19279 Rights Information: Copyright 1995 Kang, Jeongheung Date Available in IDEALS: 2011-05-07 Identifier in Online Catalog: AAI9522128 OCLC Identifier: (UMI)AAI9522128
﻿