Operators and subspaces of L(,0)

We prove linear and non-linear lifting theorems for locally convex subspaces of $L\sb0,$ and we give a characterization for locally bounded subspaces of $L\sb0.$ For every closed locally convex subspace E of $L\sb0$ and for any continuous linear operator T from $L\sb0$ to $L\sb0/E$ there is a continuous linear operator S from $L\sb0$ to $L\sb0$ such that T = QS where Q is the quotient map from $L\sb0$ to $L\sb0/E$.

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

• Faber, Richard George

• Mathematics

Statement dc:rights

• Copyright 1995 Faber, Richard George

Language dc:language

eng

Identifier

AAI9601091
(UMI)AAI9601091

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19751