Formalizing categorical and algebraic constructions in operator theory
by Grilliette, William Benjamin, Ph.D., THE UNIVERSITY OF NEBRASKA - LINCOLN, 2011, 296 pages; 3449144

Abstract:

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.

 
AdviserDavid R. Pitts
SchoolTHE UNIVERSITY OF NEBRASKA - LINCOLN
SourceDAI/B 72-06, p. , Apr 2011
Source TypeDissertation
SubjectsMathematics; Theoretical mathematics
Publication Number3449144
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