Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.

Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.

Formalizing categorical and algebraic constructions in operator theory

William Benjamin Grilliette, University of Nebraska - Lincoln


In this work, I offer an alternative presentation theory for C*-algebras with applicability to various other normed structures. Specifically, the set of generators is equipped with a nonnegative-valued function which ensures existence of a C*-algebra for the presentation. This modification allows clear definitions of a "relation" for generators of a C*-algebra and utilization of classical algebraic tools, such as Tietze transformations. ^

Subject Area

Mathematics|Theoretical Mathematics

Recommended Citation

Grilliette, William Benjamin, "Formalizing categorical and algebraic constructions in operator theory" (2011). ETD collection for University of Nebraska - Lincoln. AAI3449144.