A Systematic Study of Injective Envelopes

We explore functors between operator space categories, some properties of these functors, and establish relations between objects in these categories and their images under these functors, in particular regarding injectivity and injective envelopes. We also compare the purely categorical definition of injectivity with the `standard' operator theoretical definition.

Name thesis:degree_name

Doctor of Philosophy

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Houston

Year dc:date.issued

2024

Author dc:creator

• Cecco, Arianna H

Advisors dc:contributor.advisor

• Blecher, David
• Kalantar, Mehrdad

Committee members dc:contributor.committeemember

• Mei, Tao
• Ott, William

• Mathematics

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/10657/18292

OAI identifier oai:identifier

oai:uh-ir.tdl.org:10657/18292