Composition operators on Banach function spaces

The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them into Banach lattices. These spaces are called Banach function spaces and examples include the Lebesgue, Lorentz, Orlicz and Orlicz-Lorentz spaces.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2013

Author dc:creator

• de Jager, Pierre

Advisor dc:contributor.advisor

• Conradie, Jurie

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/6619

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/6619