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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.